diff --git a/packages/babel-parser/src/tokenizer/index.js b/packages/babel-parser/src/tokenizer/index.js
index 084a7ff9335b..1dfa40089970 100644
--- a/packages/babel-parser/src/tokenizer/index.js
+++ b/packages/babel-parser/src/tokenizer/index.js
@@ -526,7 +526,10 @@ export default class Tokenizer extends LocationParser {
         next === charCodes.dash &&
         !this.inModule &&
         this.input.charCodeAt(this.state.pos + 2) === charCodes.greaterThan &&
-        lineBreak.test(this.input.slice(this.state.lastTokEnd, this.state.pos))
+        (this.state.lastTokEnd === 0 ||
+          lineBreak.test(
+            this.input.slice(this.state.lastTokEnd, this.state.pos),
+          ))
       ) {
         // A `-->` line comment
         this.skipLineComment(3);
diff --git a/packages/babel-parser/test/fixtures/comments/html/first-line/input.js b/packages/babel-parser/test/fixtures/comments/html/first-line/input.js
new file mode 100644
index 000000000000..9fe3a97d3a3a
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/comments/html/first-line/input.js
@@ -0,0 +1 @@
+/**/ --> comment
diff --git a/packages/babel-parser/test/fixtures/comments/html/first-line/output.json b/packages/babel-parser/test/fixtures/comments/html/first-line/output.json
new file mode 100644
index 000000000000..d42874927c64
--- /dev/null
+++ b/packages/babel-parser/test/fixtures/comments/html/first-line/output.json
@@ -0,0 +1,102 @@
+{
+  "type": "File",
+  "start": 0,
+  "end": 16,
+  "loc": {
+    "start": {
+      "line": 1,
+      "column": 0
+    },
+    "end": {
+      "line": 1,
+      "column": 16
+    }
+  },
+  "program": {
+    "type": "Program",
+    "start": 0,
+    "end": 16,
+    "loc": {
+      "start": {
+        "line": 1,
+        "column": 0
+      },
+      "end": {
+        "line": 1,
+        "column": 16
+      }
+    },
+    "sourceType": "script",
+    "interpreter": null,
+    "body": [],
+    "directives": [],
+    "innerComments": [
+      {
+        "type": "CommentBlock",
+        "value": "",
+        "start": 0,
+        "end": 4,
+        "loc": {
+          "start": {
+            "line": 1,
+            "column": 0
+          },
+          "end": {
+            "line": 1,
+            "column": 4
+          }
+        }
+      },
+      {
+        "type": "CommentLine",
+        "value": " comment",
+        "start": 5,
+        "end": 16,
+        "loc": {
+          "start": {
+            "line": 1,
+            "column": 5
+          },
+          "end": {
+            "line": 1,
+            "column": 16
+          }
+        }
+      }
+    ]
+  },
+  "comments": [
+    {
+      "type": "CommentBlock",
+      "value": "",
+      "start": 0,
+      "end": 4,
+      "loc": {
+        "start": {
+          "line": 1,
+          "column": 0
+        },
+        "end": {
+          "line": 1,
+          "column": 4
+        }
+      }
+    },
+    {
+      "type": "CommentLine",
+      "value": " comment",
+      "start": 5,
+      "end": 16,
+      "loc": {
+        "start": {
+          "line": 1,
+          "column": 5
+        },
+        "end": {
+          "line": 1,
+          "column": 16
+        }
+      }
+    }
+  ]
+}
\ No newline at end of file