diff --git a/CHANGES/3805.bugfix b/CHANGES/3805.bugfix
new file mode 100644
index 00000000000..9fe87d25de1
--- /dev/null
+++ b/CHANGES/3805.bugfix
@@ -0,0 +1 @@
+Fix tasks cancellation order on exit. The run_app task needs to be cancelled first for cleanup hooks to run with all tasks intact.
diff --git a/CONTRIBUTORS.txt b/CONTRIBUTORS.txt
index 0f474de6b04..35625c511e4 100644
--- a/CONTRIBUTORS.txt
+++ b/CONTRIBUTORS.txt
@@ -242,6 +242,7 @@ Vaibhav Sagar
 Vamsi Krishna Avula
 Vasiliy Faronov
 Vasyl Baran
+Victor Collod
 Victor Kovtun
 Vikas Kawadia
 Viktor Danyliuk
diff --git a/aiohttp/web.py b/aiohttp/web.py
index be3398d3f61..55cc7b1de86 100644
--- a/aiohttp/web.py
+++ b/aiohttp/web.py
@@ -5,7 +5,17 @@
 from argparse import ArgumentParser
 from collections.abc import Iterable
 from importlib import import_module
-from typing import Any, Awaitable, Callable, List, Optional, Type, Union, cast
+from typing import (
+    Any,
+    Awaitable,
+    Callable,
+    List,
+    Optional,
+    Set,
+    Type,
+    Union,
+    cast,
+)
 
 from .abc import AbstractAccessLogger
 from .helpers import all_tasks
@@ -368,8 +378,8 @@ async def _run_app(app: Union[Application, Awaitable[Application]], *,
         await runner.cleanup()
 
 
-def _cancel_all_tasks(loop: asyncio.AbstractEventLoop) -> None:
-    to_cancel = all_tasks(loop)
+def _cancel_tasks(to_cancel: Set['asyncio.Future[Any]'],
+                  loop: asyncio.AbstractEventLoop) -> None:
     if not to_cancel:
         return
 
@@ -416,25 +426,28 @@ def run_app(app: Union[Application, Awaitable[Application]], *,
             access_log.addHandler(logging.StreamHandler())
 
     try:
-        loop.run_until_complete(_run_app(app,
-                                         host=host,
-                                         port=port,
-                                         path=path,
-                                         sock=sock,
-                                         shutdown_timeout=shutdown_timeout,
-                                         ssl_context=ssl_context,
-                                         print=print,
-                                         backlog=backlog,
-                                         access_log_class=access_log_class,
-                                         access_log_format=access_log_format,
-                                         access_log=access_log,
-                                         handle_signals=handle_signals,
-                                         reuse_address=reuse_address,
-                                         reuse_port=reuse_port))
+        main_task = asyncio.ensure_future(_run_app(
+            app,
+            host=host,
+            port=port,
+            path=path,
+            sock=sock,
+            shutdown_timeout=shutdown_timeout,
+            ssl_context=ssl_context,
+            print=print,
+            backlog=backlog,
+            access_log_class=access_log_class,
+            access_log_format=access_log_format,
+            access_log=access_log,
+            handle_signals=handle_signals,
+            reuse_address=reuse_address,
+            reuse_port=reuse_port))
+        loop.run_until_complete(main_task)
     except (GracefulExit, KeyboardInterrupt):  # pragma: no cover
         pass
     finally:
-        _cancel_all_tasks(loop)
+        _cancel_tasks({main_task}, loop)
+        _cancel_tasks(all_tasks(loop), loop)
         if sys.version_info >= (3, 6):  # don't use PY_36 to pass mypy
             loop.run_until_complete(loop.shutdown_asyncgens())
         loop.close()