diff --git a/packages/babel-types/src/builders/flow/createTypeAnnotationBasedOnTypeof.ts b/packages/babel-types/src/builders/flow/createTypeAnnotationBasedOnTypeof.ts
index 8107e5508b89..d0ae215cd1c5 100644
--- a/packages/babel-types/src/builders/flow/createTypeAnnotationBasedOnTypeof.ts
+++ b/packages/babel-types/src/builders/flow/createTypeAnnotationBasedOnTypeof.ts
@@ -1,4 +1,5 @@
 import {
+  anyTypeAnnotation,
   stringTypeAnnotation,
   numberTypeAnnotation,
   voidTypeAnnotation,
@@ -25,7 +26,8 @@ export default function createTypeAnnotationBasedOnTypeof(
   | t.VoidTypeAnnotation
   | t.NumberTypeAnnotation
   | t.BooleanTypeAnnotation
-  | t.GenericTypeAnnotation {
+  | t.GenericTypeAnnotation
+  | t.AnyTypeAnnotation {
   if (type === "string") {
     return stringTypeAnnotation();
   } else if (type === "number") {
@@ -40,7 +42,11 @@ export default function createTypeAnnotationBasedOnTypeof(
     return genericTypeAnnotation(identifier("Object"));
   } else if (type === "symbol") {
     return genericTypeAnnotation(identifier("Symbol"));
+  } else if (type === "bigint") {
+    // todo: use BigInt annotation when Flow supports BigInt
+    // https://github.com/facebook/flow/issues/6639
+    return anyTypeAnnotation();
   } else {
-    throw new Error("Invalid typeof value");
+    throw new Error("Invalid typeof value: " + type);
   }
 }
diff --git a/packages/babel-types/test/builders/flow/__snapshots__/createTypeAnnotationBasedOnTypeof.js.snap b/packages/babel-types/test/builders/flow/__snapshots__/createTypeAnnotationBasedOnTypeof.js.snap
index ee98fe3b5eeb..6f4ca7d0dcca 100644
--- a/packages/babel-types/test/builders/flow/__snapshots__/createTypeAnnotationBasedOnTypeof.js.snap
+++ b/packages/babel-types/test/builders/flow/__snapshots__/createTypeAnnotationBasedOnTypeof.js.snap
@@ -1,5 +1,11 @@
 // Jest Snapshot v1, https://goo.gl/fbAQLP
 
+exports[`builders flow createTypeAnnotationBasedOnTypeof bigint 1`] = `
+Object {
+  "type": "AnyTypeAnnotation",
+}
+`;
+
 exports[`builders flow createTypeAnnotationBasedOnTypeof function 1`] = `
 Object {
   "id": Object {
diff --git a/packages/babel-types/test/builders/flow/createTypeAnnotationBasedOnTypeof.js b/packages/babel-types/test/builders/flow/createTypeAnnotationBasedOnTypeof.js
index d686e5c4984b..dfe6efb42c23 100644
--- a/packages/babel-types/test/builders/flow/createTypeAnnotationBasedOnTypeof.js
+++ b/packages/babel-types/test/builders/flow/createTypeAnnotationBasedOnTypeof.js
@@ -11,6 +11,13 @@ describe("builders", function () {
         undefined: typeof undefined,
         function: typeof function () {},
         symbol: typeof Symbol(),
+        bigint: (() => {
+          try {
+            return eval("typeof 0n");
+          } catch (e) {
+            return "bigint";
+          }
+        })(),
       };
 
       for (const name in values) {