diff --git a/.flowconfig b/.flowconfig
index 121a945c79..fb41bcb0b1 100644
--- a/.flowconfig
+++ b/.flowconfig
@@ -7,6 +7,7 @@ packages/*/build/**
 # this transient dep bundles tests with their package, which flow attempts to parse
 # and crashes out as the test includes purposely malformed json
 **/node_modules/resolve/test/**
+**/node_modules/invariant/**
 
 [options]
 emoji=true
@@ -37,4 +38,4 @@ untyped-import
 untyped-type-import
 
 [version]
-^0.336.0
+^0.337.0
diff --git a/flow-typed/npm/invariant_v2.x.x.js b/flow-typed/npm/invariant_v2.x.x.js
new file mode 100644
index 0000000000..74cb0815af
--- /dev/null
+++ b/flow-typed/npm/invariant_v2.x.x.js
@@ -0,0 +1,23 @@
+/**
+ * Copyright (c) Meta Platforms, Inc. and affiliates.
+ *
+ * This source code is licensed under the MIT license found in the
+ * LICENSE file in the root directory of this source tree.
+ *
+ * @flow strict-local
+ * @format
+ */
+
+declare module 'invariant' {
+  declare module.exports: (
+    condition: unknown,
+    format?: string,
+    ...args: Array<unknown>
+  ) => asserts condition;
+}
+
+declare module 'invariant/invariant' {
+  import typeof Invariant from 'invariant';
+
+  declare module.exports: Invariant;
+}
diff --git a/package.json b/package.json
index d45f5cb23b..5832c4494b 100644
--- a/package.json
+++ b/package.json
@@ -30,7 +30,7 @@
     "eslint-plugin-react": "^7.37.5",
     "eslint-plugin-relay": "^1.8.3",
     "flow-api-translator": "0.336.0",
-    "flow-bin": "^0.336.0",
+    "flow-bin": "^0.337.0",
     "flow-eslint": "0.336.0",
     "flow-parser": "0.336.0",
     "invariant": "^2.2.4",
diff --git a/packages/metro-file-map/src/__tests__/addRoot-test.js b/packages/metro-file-map/src/__tests__/addRoot-test.js
index 43b0789a59..1c9da13a62 100644
--- a/packages/metro-file-map/src/__tests__/addRoot-test.js
+++ b/packages/metro-file-map/src/__tests__/addRoot-test.js
@@ -392,6 +392,7 @@ describe('FileMap.addRoot', () => {
       await fileMap.build();
       await fileMap.addRoot(EXTERNAL_DIR);
       const stopWatching = jest.spyOn(
+        // $FlowFixMe[incompatible-type] Flow 0.337
         mockWatchers.get(EXTERNAL_DIR),
         'stopWatching',
       );
diff --git a/yarn.lock b/yarn.lock
index 9d917b3c28..efa336307d 100644
--- a/yarn.lock
+++ b/yarn.lock
@@ -3307,10 +3307,10 @@ flow-api-translator@0.336.0:
     flow-transform "0.336.0"
     typescript "5.3.2"
 
-flow-bin@^0.336.0:
-  version "0.336.0"
-  resolved "https://registry.yarnpkg.com/flow-bin/-/flow-bin-0.336.0.tgz#ac946f9cdf134b83ab4f7a98a0de34324f6b94f4"
-  integrity sha512-I5sPg/GISpXH4W14eGWgiIsrDKY0uvvvXjlEDOI2t0pguEwbMgpnaYzMMMBoHZcYYtNJIF/0eGsbPnN7uP2zOQ==
+flow-bin@^0.337.0:
+  version "0.337.0"
+  resolved "https://registry.yarnpkg.com/flow-bin/-/flow-bin-0.337.0.tgz#419252403924033308160351e95f723bcf42597c"
+  integrity sha512-rpr+WvY30RdXPNHbioErMM8tLKUOKJ8/neXPpsDYRBp9z7WDkl4bpTBUMZiqh9ozfdcDWEACBTXwIl94h/ZA0A==
 
 flow-enums-runtime@^0.0.6:
   version "0.0.6"