diff --git a/starlette/routing.py b/starlette/routing.py
index 8e01c8562..132600be6 100644
--- a/starlette/routing.py
+++ b/starlette/routing.py
@@ -606,6 +606,12 @@ def __init__(
                 "See more about it on https://www.starlette.io/lifespan/.",
                 DeprecationWarning,
             )
+            if lifespan:
+                warnings.warn(
+                    "The `lifespan` parameter cannot be used with `on_startup` or "
+                    "`on_shutdown`. Both `on_startup` and `on_shutdown` will be "
+                    "ignored."
+                )
 
         if lifespan is None:
             self.lifespan_context: Lifespan = _DefaultLifespan(self)
diff --git a/tests/test_routing.py b/tests/test_routing.py
index 129293224..04f425cad 100644
--- a/tests/test_routing.py
+++ b/tests/test_routing.py
@@ -648,6 +648,50 @@ async def run_shutdown():
     assert shutdown_complete
 
 
+def test_lifespan_with_on_events(test_client_factory: typing.Callable[..., TestClient]):
+    lifespan_called = False
+    startup_called = False
+    shutdown_called = False
+
+    @contextlib.asynccontextmanager
+    async def lifespan(app: Starlette):
+        nonlocal lifespan_called
+        lifespan_called = True
+        yield
+
+    # We do not expected, neither of run_startup nor run_shutdown to be called
+    # we thus mark them as #pragma: no cover, to fulfill test coverage
+    def run_startup():  # pragma: no cover
+        nonlocal startup_called
+        startup_called = True
+
+    def run_shutdown():  # pragma: no cover
+        nonlocal shutdown_called
+        shutdown_called = True
+
+    with pytest.warns(
+        UserWarning,
+        match=(
+            "The `lifespan` parameter cannot be used with `on_startup` or `on_shutdown`."  # noqa: E501
+        ),
+    ):
+        app = Router(
+            on_startup=[run_startup], on_shutdown=[run_shutdown], lifespan=lifespan
+        )
+
+        assert not lifespan_called
+        assert not startup_called
+        assert not shutdown_called
+
+        # Triggers the lifespan events
+        with test_client_factory(app):
+            ...
+
+        assert lifespan_called
+        assert not startup_called
+        assert not shutdown_called
+
+
 def test_lifespan_sync(test_client_factory):
     startup_complete = False
     shutdown_complete = False