diff --git a/CHANGES/2563.bugfix b/CHANGES/2563.bugfix
new file mode 100644
index 00000000000..6c5b1e000fc
--- /dev/null
+++ b/CHANGES/2563.bugfix
@@ -0,0 +1 @@
+Change base class of ClientConnectorSSLError to ClientSSLError from ClientConnectorError.
diff --git a/aiohttp/client_exceptions.py b/aiohttp/client_exceptions.py
index 350c58e9e47..9f70bd13990 100644
--- a/aiohttp/client_exceptions.py
+++ b/aiohttp/client_exceptions.py
@@ -175,13 +175,13 @@ class ClientSSLError(ClientConnectorError):
     certificate_errors_bases = (ClientSSLError, ssl.CertificateError,)
 
     ssl_errors = (ssl.SSLError,)
-    ssl_error_bases = (ClientConnectorError, ssl.SSLError)
+    ssl_error_bases = (ClientSSLError, ssl.SSLError)
 else:  # pragma: no cover
     certificate_errors = tuple()
     certificate_errors_bases = (ClientSSLError, ValueError,)
 
     ssl_errors = tuple()
-    ssl_error_bases = (ClientConnectorError,)
+    ssl_error_bases = (ClientSSLError,)
 
 
 class ClientConnectorSSLError(*ssl_error_bases):
diff --git a/tests/test_connector.py b/tests/test_connector.py
index 8aaf6d0445f..b85d72d5d8b 100644
--- a/tests/test_connector.py
+++ b/tests/test_connector.py
@@ -1504,7 +1504,7 @@ def handler(request):
             self.loop.run_until_complete(session.request('get', url))
 
         self.assertIsInstance(ctx.value.os_error, ssl.SSLError)
-        self.assertTrue(ctx.value, aiohttp.ClientSSLError)
+        self.assertIsInstance(ctx.value, aiohttp.ClientSSLError)
 
         session.close()
         conn.close()