diff --git a/packages/babel-parser/src/parser/lval.js b/packages/babel-parser/src/parser/lval.js
index 13b4b6b42555..bb4c951709e5 100644
--- a/packages/babel-parser/src/parser/lval.js
+++ b/packages/babel-parser/src/parser/lval.js
@@ -99,7 +99,7 @@ export default class LValParser extends NodeUtils {
         ) {
           const prop = node.properties[i];
           const isLast = i === last;
-          this.toAssignableObjectExpressionProp(prop, isLast);
+          this.toAssignableObjectExpressionProp(prop, isLast, isLHS);
 
           if (
             isLast &&
@@ -112,8 +112,7 @@ export default class LValParser extends NodeUtils {
         break;
 
       case "ObjectProperty":
-        // ObjectProperty is not allowed in LHS
-        this.toAssignable(node.value);
+        this.toAssignable(node.value, isLHS);
         break;
 
       case "SpreadElement": {
@@ -137,8 +136,7 @@ export default class LValParser extends NodeUtils {
 
         node.type = "AssignmentPattern";
         delete node.operator;
-        // AssignmentPattern is not allowed in LHS
-        this.toAssignable(node.left);
+        this.toAssignable(node.left, isLHS);
         break;
 
       case "ParenthesizedExpression":
@@ -153,7 +151,11 @@ export default class LValParser extends NodeUtils {
     return node;
   }
 
-  toAssignableObjectExpressionProp(prop: Node, isLast: boolean) {
+  toAssignableObjectExpressionProp(
+    prop: Node,
+    isLast: boolean,
+    isLHS: boolean,
+  ) {
     if (prop.type === "ObjectMethod") {
       const error =
         prop.kind === "get" || prop.kind === "set"
@@ -166,8 +168,7 @@ export default class LValParser extends NodeUtils {
     } else if (prop.type === "SpreadElement" && !isLast) {
       this.raiseRestNotLast(prop.start);
     } else {
-      // ObjectPattern is not allowed in LHS
-      this.toAssignable(prop);
+      this.toAssignable(prop, isLHS);
     }
   }
 
diff --git a/packages/babel-parser/src/plugins/estree.js b/packages/babel-parser/src/plugins/estree.js
index 8111cd2891e3..f520ae2c9db4 100644
--- a/packages/babel-parser/src/plugins/estree.js
+++ b/packages/babel-parser/src/plugins/estree.js
@@ -351,13 +351,13 @@ export default (superClass: Class<Parser>): Class<Parser> =>
       return super.toAssignable(node, isLHS);
     }
 
-    toAssignableObjectExpressionProp(prop: N.Node, isLast: boolean) {
+    toAssignableObjectExpressionProp(prop: N.Node, ...args) {
       if (prop.kind === "get" || prop.kind === "set") {
         throw this.raise(prop.key.start, Errors.PatternHasAccessor);
       } else if (prop.method) {
         throw this.raise(prop.key.start, Errors.PatternHasMethod);
       } else {
-        super.toAssignableObjectExpressionProp(prop, isLast);
+        super.toAssignableObjectExpressionProp(prop, ...args);
       }
     }
 
diff --git a/packages/babel-parser/src/plugins/flow.js b/packages/babel-parser/src/plugins/flow.js
index e14638301a63..a02102a2ad9c 100644
--- a/packages/babel-parser/src/plugins/flow.js
+++ b/packages/babel-parser/src/plugins/flow.js
@@ -1955,6 +1955,7 @@ export default (superClass: Class<Parser>): Class<Parser> =>
         // has not been converted yet.
         ((node.params: any): N.Expression[]),
         node.extra?.trailingComma,
+        /* isLHS */ false,
       );
       // Enter scope, as checkParams defines bindings
       this.scope.enter(SCOPE_FUNCTION | SCOPE_ARROW);
@@ -2204,7 +2205,7 @@ export default (superClass: Class<Parser>): Class<Parser> =>
     toAssignableList(
       exprList: N.Expression[],
       trailingCommaPos?: ?number,
-      isLHS: boolean = true,
+      isLHS: boolean,
     ): $ReadOnlyArray<N.Pattern> {
       for (let i = 0; i < exprList.length; i++) {
         const expr = exprList[i];
diff --git a/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-array-pattern-2/input.js b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-array-pattern-2/input.js
new file mode 100644
index 000000000000..c87a5386e5d6
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-array-pattern-2/input.js
@@ -0,0 +1 @@
+([ [(a)] = [] ] = []) => {}
diff --git a/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-array-pattern-2/output.json b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-array-pattern-2/output.json
new file mode 100644
index 000000000000..7b7ee9fd382d
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-array-pattern-2/output.json
@@ -0,0 +1,71 @@
+{
+  "type": "File",
+  "start":0,"end":27,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":27}},
+  "program": {
+    "type": "Program",
+    "start":0,"end":27,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":27}},
+    "sourceType": "script",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "ExpressionStatement",
+        "start":0,"end":27,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":27}},
+        "expression": {
+          "type": "ArrowFunctionExpression",
+          "start":0,"end":27,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":27}},
+          "id": null,
+          "generator": false,
+          "async": false,
+          "params": [
+            {
+              "type": "AssignmentPattern",
+              "start":1,"end":20,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":20}},
+              "left": {
+                "type": "ArrayPattern",
+                "start":1,"end":15,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":15}},
+                "elements": [
+                  {
+                    "type": "AssignmentPattern",
+                    "start":3,"end":13,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":13}},
+                    "left": {
+                      "type": "ArrayPattern",
+                      "start":3,"end":8,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":8}},
+                      "elements": [
+                        {
+                          "type": "Identifier",
+                          "start":5,"end":6,"loc":{"start":{"line":1,"column":5},"end":{"line":1,"column":6},"identifierName":"a"},
+                          "extra": {
+                            "parenthesized": true,
+                            "parenStart": 4
+                          },
+                          "name": "a"
+                        }
+                      ]
+                    },
+                    "right": {
+                      "type": "ArrayExpression",
+                      "start":11,"end":13,"loc":{"start":{"line":1,"column":11},"end":{"line":1,"column":13}},
+                      "elements": []
+                    }
+                  }
+                ]
+              },
+              "right": {
+                "type": "ArrayExpression",
+                "start":18,"end":20,"loc":{"start":{"line":1,"column":18},"end":{"line":1,"column":20}},
+                "elements": []
+              }
+            }
+          ],
+          "body": {
+            "type": "BlockStatement",
+            "start":25,"end":27,"loc":{"start":{"line":1,"column":25},"end":{"line":1,"column":27}},
+            "body": [],
+            "directives": []
+          }
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file
diff --git a/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-object-pattern/input.js b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-object-pattern/input.js
new file mode 100644
index 000000000000..009433301e2c
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-object-pattern/input.js
@@ -0,0 +1 @@
+({ a: (foo) } = {}) => {}
diff --git a/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-object-pattern/output.json b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-object-pattern/output.json
new file mode 100644
index 000000000000..5877bb92cdf0
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/arrow-functions/.inner-parens-object-pattern/output.json
@@ -0,0 +1,68 @@
+{
+  "type": "File",
+  "start":0,"end":25,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":25}},
+  "program": {
+    "type": "Program",
+    "start":0,"end":25,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":25}},
+    "sourceType": "script",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "ExpressionStatement",
+        "start":0,"end":25,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":25}},
+        "expression": {
+          "type": "ArrowFunctionExpression",
+          "start":0,"end":25,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":25}},
+          "id": null,
+          "generator": false,
+          "async": false,
+          "params": [
+            {
+              "type": "AssignmentPattern",
+              "start":1,"end":18,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":18}},
+              "left": {
+                "type": "ObjectPattern",
+                "start":1,"end":13,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":13}},
+                "properties": [
+                  {
+                    "type": "ObjectProperty",
+                    "start":3,"end":11,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":11}},
+                    "method": false,
+                    "key": {
+                      "type": "Identifier",
+                      "start":3,"end":4,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":4},"identifierName":"a"},
+                      "name": "a"
+                    },
+                    "computed": false,
+                    "shorthand": false,
+                    "value": {
+                      "type": "Identifier",
+                      "start":7,"end":10,"loc":{"start":{"line":1,"column":7},"end":{"line":1,"column":10},"identifierName":"foo"},
+                      "extra": {
+                        "parenthesized": true,
+                        "parenStart": 6
+                      },
+                      "name": "foo"
+                    }
+                  }
+                ]
+              },
+              "right": {
+                "type": "ObjectExpression",
+                "start":16,"end":18,"loc":{"start":{"line":1,"column":16},"end":{"line":1,"column":18}},
+                "properties": []
+              }
+            }
+          ],
+          "body": {
+            "type": "BlockStatement",
+            "start":23,"end":25,"loc":{"start":{"line":1,"column":23},"end":{"line":1,"column":25}},
+            "body": [],
+            "directives": []
+          }
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file
diff --git a/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-assignment/input.js b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-assignment/input.js
new file mode 100644
index 000000000000..0fdb1d81c96d
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-assignment/input.js
@@ -0,0 +1 @@
+({ a: (a.b) = (c.d) } = {});
diff --git a/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-assignment/output.json b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-assignment/output.json
new file mode 100644
index 000000000000..26d23fd2ab71
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-assignment/output.json
@@ -0,0 +1,91 @@
+{
+  "type": "File",
+  "start":0,"end":28,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":28}},
+  "program": {
+    "type": "Program",
+    "start":0,"end":28,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":28}},
+    "sourceType": "script",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "ExpressionStatement",
+        "start":0,"end":28,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":28}},
+        "expression": {
+          "type": "AssignmentExpression",
+          "start":1,"end":26,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":26}},
+          "extra": {
+            "parenthesized": true,
+            "parenStart": 0
+          },
+          "operator": "=",
+          "left": {
+            "type": "ObjectPattern",
+            "start":1,"end":21,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":21}},
+            "properties": [
+              {
+                "type": "ObjectProperty",
+                "start":3,"end":19,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":19}},
+                "method": false,
+                "key": {
+                  "type": "Identifier",
+                  "start":3,"end":4,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":4},"identifierName":"a"},
+                  "name": "a"
+                },
+                "computed": false,
+                "shorthand": false,
+                "value": {
+                  "type": "AssignmentPattern",
+                  "start":6,"end":19,"loc":{"start":{"line":1,"column":6},"end":{"line":1,"column":19}},
+                  "left": {
+                    "type": "MemberExpression",
+                    "start":7,"end":10,"loc":{"start":{"line":1,"column":7},"end":{"line":1,"column":10}},
+                    "extra": {
+                      "parenthesized": true,
+                      "parenStart": 6
+                    },
+                    "object": {
+                      "type": "Identifier",
+                      "start":7,"end":8,"loc":{"start":{"line":1,"column":7},"end":{"line":1,"column":8},"identifierName":"a"},
+                      "name": "a"
+                    },
+                    "computed": false,
+                    "property": {
+                      "type": "Identifier",
+                      "start":9,"end":10,"loc":{"start":{"line":1,"column":9},"end":{"line":1,"column":10},"identifierName":"b"},
+                      "name": "b"
+                    }
+                  },
+                  "right": {
+                    "type": "MemberExpression",
+                    "start":15,"end":18,"loc":{"start":{"line":1,"column":15},"end":{"line":1,"column":18}},
+                    "extra": {
+                      "parenthesized": true,
+                      "parenStart": 14
+                    },
+                    "object": {
+                      "type": "Identifier",
+                      "start":15,"end":16,"loc":{"start":{"line":1,"column":15},"end":{"line":1,"column":16},"identifierName":"c"},
+                      "name": "c"
+                    },
+                    "computed": false,
+                    "property": {
+                      "type": "Identifier",
+                      "start":17,"end":18,"loc":{"start":{"line":1,"column":17},"end":{"line":1,"column":18},"identifierName":"d"},
+                      "name": "d"
+                    }
+                  }
+                }
+              }
+            ]
+          },
+          "right": {
+            "type": "ObjectExpression",
+            "start":24,"end":26,"loc":{"start":{"line":1,"column":24},"end":{"line":1,"column":26}},
+            "properties": []
+          }
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file
diff --git a/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-object/input.js b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-object/input.js
new file mode 100644
index 000000000000..5093d4e7afd0
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-object/input.js
@@ -0,0 +1 @@
+({ a: (a.b) } = {});
diff --git a/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-object/output.json b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-object/output.json
new file mode 100644
index 000000000000..8e08d2747603
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/es2015/destructuring/lhs-parenthesized-object/output.json
@@ -0,0 +1,68 @@
+{
+  "type": "File",
+  "start":0,"end":20,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":20}},
+  "program": {
+    "type": "Program",
+    "start":0,"end":20,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":20}},
+    "sourceType": "script",
+    "interpreter": null,
+    "body": [
+      {
+        "type": "ExpressionStatement",
+        "start":0,"end":20,"loc":{"start":{"line":1,"column":0},"end":{"line":1,"column":20}},
+        "expression": {
+          "type": "AssignmentExpression",
+          "start":1,"end":18,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":18}},
+          "extra": {
+            "parenthesized": true,
+            "parenStart": 0
+          },
+          "operator": "=",
+          "left": {
+            "type": "ObjectPattern",
+            "start":1,"end":13,"loc":{"start":{"line":1,"column":1},"end":{"line":1,"column":13}},
+            "properties": [
+              {
+                "type": "ObjectProperty",
+                "start":3,"end":11,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":11}},
+                "method": false,
+                "key": {
+                  "type": "Identifier",
+                  "start":3,"end":4,"loc":{"start":{"line":1,"column":3},"end":{"line":1,"column":4},"identifierName":"a"},
+                  "name": "a"
+                },
+                "computed": false,
+                "shorthand": false,
+                "value": {
+                  "type": "MemberExpression",
+                  "start":7,"end":10,"loc":{"start":{"line":1,"column":7},"end":{"line":1,"column":10}},
+                  "extra": {
+                    "parenthesized": true,
+                    "parenStart": 6
+                  },
+                  "object": {
+                    "type": "Identifier",
+                    "start":7,"end":8,"loc":{"start":{"line":1,"column":7},"end":{"line":1,"column":8},"identifierName":"a"},
+                    "name": "a"
+                  },
+                  "computed": false,
+                  "property": {
+                    "type": "Identifier",
+                    "start":9,"end":10,"loc":{"start":{"line":1,"column":9},"end":{"line":1,"column":10},"identifierName":"b"},
+                    "name": "b"
+                  }
+                }
+              }
+            ]
+          },
+          "right": {
+            "type": "ObjectExpression",
+            "start":16,"end":18,"loc":{"start":{"line":1,"column":16},"end":{"line":1,"column":18}},
+            "properties": []
+          }
+        }
+      }
+    ],
+    "directives": []
+  }
+}
\ No newline at end of file