diff --git a/src/components/Menu/Menu.tsx b/src/components/Menu/Menu.tsx
index ca6e849e3d..1f8fb89d58 100644
--- a/src/components/Menu/Menu.tsx
+++ b/src/components/Menu/Menu.tsx
@@ -359,9 +359,11 @@ const Menu = ({
           easing: EASING,
           useNativeDriver: true,
         }),
-      ]).start(() => {
-        focusFirstDOMNode(menuRef.current);
-        prevRendered.current = true;
+      ]).start(({ finished }) => {
+        if (finished) {
+          focusFirstDOMNode(menuRef.current);
+          prevRendered.current = true;
+        }
       });
     });
   }, [anchor, attachListeners, measureAnchorLayout, theme]);
@@ -371,6 +373,12 @@ const Menu = ({
 
     const { animation } = theme;
 
+    // Reset before the animation starts so that the menu can be re-opened
+    // even if the hide animation's completion callback never fires (e.g. on
+    // React Native >= 0.80 where the animation `finished` event is not
+    // delivered). Without this the menu stays closed and cannot be shown again.
+    prevRendered.current = false;
+
     Animated.timing(opacityAnimationRef.current, {
       toValue: 0,
       duration: ANIMATION_DURATION * animation.scale,
@@ -379,7 +387,6 @@ const Menu = ({
     }).start(() => {
       setMenuLayout({ width: 0, height: 0 });
       setRendered(false);
-      prevRendered.current = false;
       focusFirstDOMNode(anchorRef.current);
     });
   }, [removeListeners, theme]);
diff --git a/src/components/__tests__/Menu.test.tsx b/src/components/__tests__/Menu.test.tsx
index 128fb87cdb..13d74e0ffc 100644
--- a/src/components/__tests__/Menu.test.tsx
+++ b/src/components/__tests__/Menu.test.tsx
@@ -290,3 +290,76 @@ it('renders menu with mode "flat"', async () => {
   expect(styles).not.toHaveProperty('shadowColor');
   expect(styles).not.toHaveProperty('shadowOpacity');
 });
+
+it('reopens after being closed', async () => {
+  const dimensionsSpy = jest.spyOn(Dimensions, 'get').mockReturnValue({
+    width: 400,
+    height: 800,
+    scale: 2,
+    fontScale: 2,
+  });
+  const measureSpy = jest
+    .spyOn(View.prototype, 'measureInWindow')
+    .mockImplementation((fn) => fn(100, 100, 80, 32));
+
+  function makeMenu(visible: boolean) {
+    return (
+      <Portal.Host>
+        <Menu
+          visible={visible}
+          onDismiss={jest.fn()}
+          anchor={
+            <Button mode="outlined" testID="anchor">
+              Open menu
+            </Button>
+          }
+          contentStyle={styles.contentStyle}
+        >
+          <Menu.Item onPress={jest.fn()} title="Undo" />
+          <Menu.Item onPress={jest.fn()} title="Redo" />
+        </Menu>
+      </Portal.Host>
+    );
+  }
+
+  const { rerender } = await render(makeMenu(false));
+
+  // Open the menu.
+  await act(async () => {
+    await rerender(makeMenu(true));
+    // Menu waits a tick for Portal refs to be up-to-date.
+    await Promise.resolve();
+  });
+
+  await waitFor(() => {
+    expect(screen.getByTestId('menu-view')).toHaveStyle({
+      position: 'absolute',
+      left: 100,
+      top: 100,
+    });
+  });
+
+  // Close the menu.
+  await act(async () => {
+    await rerender(makeMenu(false));
+    await Promise.resolve();
+  });
+
+  // Reopen the menu. If `prevRendered` is not reset on close, the menu
+  // would stay hidden forever (see fix for #4763).
+  await act(async () => {
+    await rerender(makeMenu(true));
+    await Promise.resolve();
+  });
+
+  await waitFor(() => {
+    expect(screen.getByTestId('menu-view')).toHaveStyle({
+      position: 'absolute',
+      left: 100,
+      top: 100,
+    });
+  });
+
+  measureSpy.mockRestore();
+  dimensionsSpy.mockRestore();
+});