diff --git a/Lib/asyncio/base_events.py b/Lib/asyncio/base_events.py
index 046743864fd..492e377d09e 100644
--- a/Lib/asyncio/base_events.py
+++ b/Lib/asyncio/base_events.py
@@ -62,6 +62,9 @@
 _FATAL_ERROR_IGNORE = (BrokenPipeError,
                        ConnectionResetError, ConnectionAbortedError)
 
+if ssl is not None:
+    _FATAL_ERROR_IGNORE = _FATAL_ERROR_IGNORE + (ssl.SSLCertVerificationError,)
+
 _HAS_IPv6 = hasattr(socket, 'AF_INET6')
 
 # Maximum timeout passed to select to avoid OS limitations
diff --git a/Misc/NEWS.d/next/Library/2018-09-11-10-00-53.bpo-34630.YbqUS6.rst b/Misc/NEWS.d/next/Library/2018-09-11-10-00-53.bpo-34630.YbqUS6.rst
new file mode 100644
index 00000000000..452bcb6142a
--- /dev/null
+++ b/Misc/NEWS.d/next/Library/2018-09-11-10-00-53.bpo-34630.YbqUS6.rst
@@ -0,0 +1,2 @@
+Don't log SSL certificate errors in asyncio code (connection error logging
+is skipped already).