diff --git a/lib/tornado/http1connection.py b/lib/tornado/http1connection.py
index 7ee83161..055f1827 100644
--- a/lib/tornado/http1connection.py
+++ b/lib/tornado/http1connection.py
@@ -726,8 +726,9 @@ class HTTP1ServerConnection(object):
                     # This exception was already logged.
                     conn.close()
                     return
-                except Exception:
-                    gen_log.error("Uncaught exception", exc_info=True)
+                except Exception as e:
+                    if 1 != e.errno:
+                        gen_log.error("Uncaught exception", exc_info=True)
                     conn.close()
                     return
                 if not ret:
diff --git a/lib/tornado/iostream.py b/lib/tornado/iostream.py
index bcf44414..e3e70f04 100644
--- a/lib/tornado/iostream.py
+++ b/lib/tornado/iostream.py
@@ -648,7 +648,8 @@ class BaseIOStream(object):
         except UnsatisfiableReadError:
             raise
         except Exception as e:
-            gen_log.warning("error on read: %s" % e)
+            if 1 != e.errno:
+                gen_log.warning("error on read: %s" % e)
             self.close(exc_info=True)
             return
         if pos is not None: