diff --git a/tests/test_app_init.py b/tests/test_app_init.py
new file mode 100644
index 000000000..931b3d13c
--- /dev/null
+++ b/tests/test_app_init.py
@@ -0,0 +1,19 @@
+"""Tests for initialization of FastAPI app instance."""
+import pytest
+
+from fastapi import FastAPI
+
+
+def test_open_api_url_no_title():
+    """An error should be raised if an openapi URL is provided without a title."""
+    with pytest.raises(ValueError):
+        FastAPI(openapi_url="/openapi.json", title=None)
+
+def test_open_api_url_no_version():
+    """An error should be raised if an openapi URL is provided without a version."""
+    with pytest.raises(ValueError):
+        FastAPI(openapi_url="/openapi.json", version=None)
+
+def test_open_api_url_title_and_version():
+    """No error should be raised if an openapi URL is provided with a title and version."""
+    FastAPI(openapi_url="/openapi.json", title="Title", version="0.1")
\ No newline at end of file