diff --git a/packages/reactivity/__tests__/reactive.spec.ts b/packages/reactivity/__tests__/reactive.spec.ts
index aabd954568a..1ff8bac37b5 100644
--- a/packages/reactivity/__tests__/reactive.spec.ts
+++ b/packages/reactivity/__tests__/reactive.spec.ts
@@ -112,6 +112,80 @@ describe('reactivity/reactive', () => {
     expect(dummy).toBe(false)
   })
 
+  test('reactive object with custom Symbol.toStringTag triggers reactivity', () => {
+    const original = { [Symbol.toStringTag]: 'Goat', foo: 1 }
+    const observed = reactive(original)
+
+    expect(isReactive(observed)).toBe(true)
+    expect(isProxy(observed)).toBe(true)
+
+    let dummy: number | undefined
+    effect(() => {
+      dummy = observed.foo
+    })
+
+    expect(dummy).toBe(1)
+
+    observed.foo = 2
+    expect(dummy).toBe(2)
+  })
+
+  test('custom collection type with custom Symbol.toStringTag is handled as a collection', () => {
+    class MyCustomMap extends Map {
+      get [Symbol.toStringTag]() {
+        return 'MyCustomMap'
+      }
+    }
+
+    const myCustomMap = new MyCustomMap()
+
+    expect(Object.prototype.toString.call(myCustomMap)).toBe(
+      '[object MyCustomMap]',
+    )
+
+    const observed = reactive(myCustomMap)
+
+    expect(isReactive(observed)).toBe(true)
+    expect(isProxy(observed)).toBe(true)
+
+    let dummy: boolean = false
+    effect(() => {
+      dummy = observed.has('foo')
+    })
+
+    expect(dummy).toBe(false)
+
+    observed.set('foo', 'bar')
+    expect(dummy).toBe(true)
+  })
+
+  test('custom array type with custom Symbol.toStringTag is handled as a common object', () => {
+    class MyArray extends Array {
+      get [Symbol.toStringTag]() {
+        return 'MyArray'
+      }
+    }
+
+    const myArr = new MyArray()
+
+    expect(Object.prototype.toString.call(myArr)).toBe('[object MyArray]')
+
+    const observed = reactive(myArr)
+
+    expect(isReactive(observed)).toBe(true)
+    expect(isProxy(observed)).toBe(true)
+
+    let dummy: number = 0
+    effect(() => {
+      dummy = observed.length
+    })
+
+    expect(dummy).toBe(0)
+
+    observed.push(42)
+    expect(dummy).toBe(1)
+  })
+
   test('observed value should proxy mutations to original (Object)', () => {
     const original: any = { foo: 1 }
     const observed = reactive(original)
diff --git a/packages/reactivity/src/reactive.ts b/packages/reactivity/src/reactive.ts
index 729c854965e..f57231816d4 100644
--- a/packages/reactivity/src/reactive.ts
+++ b/packages/reactivity/src/reactive.ts
@@ -40,7 +40,8 @@ enum TargetType {
   COLLECTION = 2,
 }
 
-function targetTypeMap(rawType: string) {
+function targetTypeMap(value: Target): TargetType {
+  const rawType = toRawType(value)
   switch (rawType) {
     case 'Object':
     case 'Array':
@@ -51,14 +52,34 @@ function targetTypeMap(rawType: string) {
     case 'WeakSet':
       return TargetType.COLLECTION
     default:
+      if (
+        value instanceof Map ||
+        value instanceof Set ||
+        value instanceof WeakMap ||
+        value instanceof WeakSet
+      ) {
+        return TargetType.COLLECTION
+      }
+      if (value instanceof Array || isPlainObject(value)) {
+        return TargetType.COMMON
+      }
       return TargetType.INVALID
   }
 }
 
+function isPlainObject(value: unknown): value is object {
+  return (
+    typeof value === 'object' &&
+    value !== null &&
+    (Object.getPrototypeOf(value) === Object.prototype ||
+      Object.getPrototypeOf(value) === null)
+  )
+}
+
 function getTargetType(value: Target) {
   return value[ReactiveFlags.SKIP] || !Object.isExtensible(value)
     ? TargetType.INVALID
-    : targetTypeMap(toRawType(value))
+    : targetTypeMap(value)
 }
 
 // only unwrap nested ref