diff --git a/src/index.test.ts b/src/index.test.ts
index 00917c97..78ffab54 100644
--- a/src/index.test.ts
+++ b/src/index.test.ts
@@ -676,6 +676,30 @@ describe('stringify & parse', () => {
       },
     },
 
+    'works with BigInt typed arrays': {
+      input: {
+        a: new BigInt64Array([1n, 2n, -3n, 9007199254740993n]),
+        b: new BigUint64Array([0n, 18446744073709551615n]),
+      },
+      output: {
+        // bigint isn't valid JSON, so values are stored as strings
+        a: ['1', '2', '-3', '9007199254740993'],
+        b: ['0', '18446744073709551615'],
+      },
+      outputAnnotations: {
+        values: {
+          a: [['typed-array', 'BigInt64Array']],
+          b: [['typed-array', 'BigUint64Array']],
+        },
+      },
+      customExpectations: (value: any) => {
+        expect(value.a).toBeInstanceOf(BigInt64Array);
+        expect([...value.a]).toEqual([1n, 2n, -3n, 9007199254740993n]);
+        expect(value.b).toBeInstanceOf(BigUint64Array);
+        expect([...value.b]).toEqual([0n, 18446744073709551615n]);
+      },
+    },
+
     'works for undefined, issue #48': {
       input: undefined,
       output: null,
diff --git a/src/is.ts b/src/is.ts
index 438ea498..a2d7504d 100644
--- a/src/is.ts
+++ b/src/is.ts
@@ -79,7 +79,13 @@ export type TypedArrayConstructor =
   | Float32ArrayConstructor
   | Float64ArrayConstructor;
 
-export type TypedArray = InstanceType<TypedArrayConstructor>;
+export type BigIntTypedArrayConstructor =
+  | BigInt64ArrayConstructor
+  | BigUint64ArrayConstructor;
+
+export type TypedArray = InstanceType<
+  TypedArrayConstructor | BigIntTypedArrayConstructor
+>;
 
 export const isTypedArray = (payload: any): payload is TypedArray =>
   ArrayBuffer.isView(payload) && !(payload instanceof DataView);
diff --git a/src/transformer.ts b/src/transformer.ts
index 69dedef1..00062898 100644
--- a/src/transformer.ts
+++ b/src/transformer.ts
@@ -12,6 +12,7 @@ import {
   isError,
   isTypedArray,
   TypedArrayConstructor,
+  BigIntTypedArrayConstructor,
   isURL,
 } from './is.js';
 import { findArr } from './util.js';
@@ -221,19 +222,41 @@ const constructorToName = [
   return obj;
 }, {});
 
+// BigInt-backed typed arrays hold `bigint` elements, which JSON.stringify
+// cannot represent. They're serialized/deserialized as strings instead.
+const bigIntConstructorToName: Record<string, BigIntTypedArrayConstructor> = {};
+if (typeof BigInt64Array !== 'undefined') {
+  bigIntConstructorToName[BigInt64Array.name] = BigInt64Array;
+}
+if (typeof BigUint64Array !== 'undefined') {
+  bigIntConstructorToName[BigUint64Array.name] = BigUint64Array;
+}
+
 const typedArrayRule = compositeTransformation(
   isTypedArray,
   v => ['typed-array', v.constructor.name],
-  v => [...v].map(n => {
-    // Handle special float values that JSON.stringify converts to null
-    if (typeof n === 'number') {
-      if (Number.isNaN(n)) return 'NaN';
-      if (n === Infinity) return 'Infinity';
-      if (n === -Infinity) return '-Infinity';
-    }
-    return n;
-  }),
+  v =>
+    [...v].map(n => {
+      // bigint values (from BigInt64Array / BigUint64Array) are not valid JSON,
+      // so they're stored as strings.
+      if (typeof n === 'bigint') {
+        return n.toString();
+      }
+      // Handle special float values that JSON.stringify converts to null
+      if (typeof n === 'number') {
+        if (Number.isNaN(n)) return 'NaN';
+        if (n === Infinity) return 'Infinity';
+        if (n === -Infinity) return '-Infinity';
+      }
+      return n;
+    }),
   (v, a) => {
+    const bigIntCtor = bigIntConstructorToName[a[1]];
+    if (bigIntCtor) {
+      const values = v.map((n: string | number | bigint): bigint => BigInt(n));
+      return new bigIntCtor(values);
+    }
+
     const ctor = constructorToName[a[1]];
 
     if (!ctor) {