diff --git a/src/__tests__/fireEvent.test.js b/src/__tests__/fireEvent.test.js
index 74d97aa9e..5fef1c806 100644
--- a/src/__tests__/fireEvent.test.js
+++ b/src/__tests__/fireEvent.test.js
@@ -282,3 +282,26 @@ test('is not fooled by non-native disabled prop', () => {
   fireEvent.press(screen.getByText('Trigger Test'));
   expect(handlePress).toHaveBeenCalledTimes(1);
 });
+
+function TestChildTouchableComponent({ onPress, someProp }) {
+  return (
+    <View>
+      <TouchableOpacity onPress={onPress} disabled={someProp}>
+        <Text>Trigger</Text>
+      </TouchableOpacity>
+    </View>
+  );
+}
+
+test('is not fooled by non-responder wrapping host elements', () => {
+  const handlePress = jest.fn();
+
+  const screen = render(
+    <View>
+      <TestChildTouchableComponent onPress={handlePress} someProp={true} />
+    </View>
+  );
+
+  fireEvent.press(screen.getByText('Trigger'));
+  expect(handlePress).not.toHaveBeenCalled();
+});
diff --git a/src/fireEvent.js b/src/fireEvent.js
index 08b9a65ec..c9156dd13 100644
--- a/src/fireEvent.js
+++ b/src/fireEvent.js
@@ -2,32 +2,47 @@
 import act from './act';
 import { ErrorWithStack } from './helpers/errors';
 
-const isTextInputComponent = (element: ReactTestInstance) => {
+const isHostElement = (element?: ReactTestInstance) => {
+  return typeof element?.type === 'string';
+};
+
+const isTextInput = (element?: ReactTestInstance) => {
   // eslint-disable-next-line import/no-extraneous-dependencies
   const { TextInput } = require('react-native');
-  return element.type === TextInput;
+  return element?.type === TextInput;
+};
+
+const isTouchResponder = (element?: ReactTestInstance) => {
+  if (!isHostElement(element)) return false;
+
+  return !!element?.props.onStartShouldSetResponder || isTextInput(element);
+};
+
+const isEventEnabled = (
+  element?: ReactTestInstance,
+  touchResponder?: ReactTestInstance
+) => {
+  if (isTextInput(element)) return element?.props.editable !== false;
+
+  return touchResponder?.props.onStartShouldSetResponder?.() !== false;
 };
 
 const findEventHandler = (
   element: ReactTestInstance,
   eventName: string,
   callsite?: any,
-  nearestHostDescendent?: ReactTestInstance,
+  nearestTouchResponder?: ReactTestInstance,
   hasDescendandHandler?: boolean
 ) => {
-  const handler = getEventHandler(element, eventName);
-  const hasHandler = handler != null || hasDescendandHandler;
-
-  const isHostComponent = typeof element.type === 'string';
-  const hostElement = isHostComponent ? element : nearestHostDescendent;
+  const touchResponder = isTouchResponder(element)
+    ? element
+    : nearestTouchResponder;
 
-  const isEventEnabled = isTextInputComponent(element)
-    ? element.props.editable !== false
-    : hostElement?.props.onStartShouldSetResponder?.() !== false;
-
-  if (handler && isEventEnabled) return handler;
+  const handler = getEventHandler(element, eventName);
+  if (handler && isEventEnabled(element, touchResponder)) return handler;
 
   // Do not bubble event to the root element
+  const hasHandler = handler != null || hasDescendandHandler;
   if (element.parent === null || element.parent.parent === null) {
     if (hasHandler) {
       return null;
@@ -43,7 +58,7 @@ const findEventHandler = (
     element.parent,
     eventName,
     callsite,
-    hostElement,
+    touchResponder,
     hasHandler
   );
 };