diff --git a/fastapi/openapi/utils.py b/fastapi/openapi/utils.py
index 808646cc2..19d05c351 100644
--- a/fastapi/openapi/utils.py
+++ b/fastapi/openapi/utils.py
@@ -274,6 +274,8 @@ def get_openapi_path(
     route_response_media_type: Optional[str] = current_response_class.media_type
     if route.include_in_schema:
         for method in route.methods:
+            if method == "HEAD" and "GET" in route.methods:
+                continue
             operation = get_openapi_operation_metadata(
                 route=route, method=method, operation_ids=operation_ids
             )
diff --git a/fastapi/routing.py b/fastapi/routing.py
index 457481e32..956ffacba 100644
--- a/fastapi/routing.py
+++ b/fastapi/routing.py
@@ -490,7 +490,9 @@ class APIRoute(routing.Route):
         self.name = get_name(endpoint) if name is None else name
         self.path_regex, self.path_format, self.param_convertors = compile_path(path)
         if methods is None:
-            methods = ["GET"]
+            methods = ["GET", "HEAD"]
+        elif "GET" in methods:
+            methods = set(methods).union({"HEAD"})
         self.methods: Set[str] = {method.upper() for method in methods}
         if isinstance(generate_unique_id_function, DefaultPlaceholder):
             current_generate_unique_id: Callable[[APIRoute], str] = (
@@ -1724,7 +1726,7 @@ class APIRouter(routing.Router):
             response_description=response_description,
             responses=responses,
             deprecated=deprecated,
-            methods=["GET"],
+            methods=["GET", "HEAD"],
             operation_id=operation_id,
             response_model_include=response_model_include,
             response_model_exclude=response_model_exclude,
diff --git a/tests/test_extra_routes.py b/tests/test_extra_routes.py
index bd16fe925..b5b5c6500 100644
--- a/tests/test_extra_routes.py
+++ b/tests/test_extra_routes.py
@@ -14,6 +14,11 @@ class Item(BaseModel):
     price: Optional[float] = None
 
 
+@app.head("/items/{item_id}")
+def head_item(item_id: str):
+    return JSONResponse(None, headers={"x-fastapi-item-id": item_id})
+
+
 @app.api_route("/items/{item_id}", methods=["GET"])
 def get_items(item_id: str):
     return {"item_id": item_id}
@@ -31,11 +36,6 @@ def delete_item(item_id: str, item: Item):
     return {"item_id": item_id, "item": item}
 
 
-@app.head("/items/{item_id}")
-def head_item(item_id: str):
-    return JSONResponse(None, headers={"x-fastapi-item-id": item_id})
-
-
 @app.options("/items/{item_id}")
 def options_item(item_id: str):
     return JSONResponse(None, headers={"x-fastapi-item-id": item_id})
diff --git a/tests/test_tutorial/test_first_steps/test_tutorial001.py b/tests/test_tutorial/test_first_steps/test_tutorial001.py
index 6cc9fc228..54c6cc36b 100644
--- a/tests/test_tutorial/test_first_steps/test_tutorial001.py
+++ b/tests/test_tutorial/test_first_steps/test_tutorial001.py
@@ -18,6 +18,9 @@ def test_get_path(path, expected_status, expected_response):
     assert response.status_code == expected_status
     assert response.json() == expected_response
 
+    response = client.head(path)
+    assert response.status_code == expected_status
+
 
 def test_openapi_schema():
     response = client.get("/openapi.json")