diff -r 12502327d2c0 Lib/subprocess.py
--- a/Lib/subprocess.py	Tue Feb 16 13:27:45 2016 +1100
+++ b/Lib/subprocess.py	Wed Feb 17 12:12:07 2016 +0100
@@ -1021,7 +1021,7 @@ class Popen(object):
             try:
                 self.stdin.write(input)
             except BrokenPipeError:
-                # communicate() must ignore broken pipe error
+                # communicate() must ignore broken pipe error on stdin
                 pass
             except OSError as e:
                 if e.errno == errno.EINVAL and self.poll() is not None:
@@ -1030,7 +1030,12 @@ class Popen(object):
                     pass
                 else:
                     raise
-        self.stdin.close()
+
+        try:
+            self.stdin.close()
+        except BrokenPipeError:
+            # communicate() must ignore broken pipe error on stdin
+            pass
 
     def communicate(self, input=None, timeout=None):
         """Interact with process: Send data to stdin.  Read data from
@@ -1666,11 +1671,15 @@ class Popen(object):
 
         def _communicate(self, input, endtime, orig_timeout):
             if self.stdin and not self._communication_started:
-                # Flush stdio buffer.  This might block, if the user has
-                # been writing to .stdin in an uncontrolled fashion.
-                self.stdin.flush()
-                if not input:
-                    self.stdin.close()
+                try:
+                    # Flush stdio buffer.  This might block, if the user has
+                    # been writing to .stdin in an uncontrolled fashion.
+                    self.stdin.flush()
+                    if not input:
+                        self.stdin.close()
+                except BrokenPipeError:
+                    # communicate() must ignore broken pipe error on stdin
+                    pass
 
             stdout = None
             stderr = None
diff -r 12502327d2c0 Lib/test/test_subprocess.py
--- a/Lib/test/test_subprocess.py	Tue Feb 16 13:27:45 2016 +1100
+++ b/Lib/test/test_subprocess.py	Wed Feb 17 12:12:07 2016 +0100
@@ -1,4 +1,5 @@
 import unittest
+from unittest import mock
 from test.support import script_helper
 from test import support
 import subprocess
@@ -2664,6 +2665,30 @@ class ContextManagerTests(BaseTestCase):
         self.assertEqual(proc.returncode, 0)
         self.assertTrue(proc.stdin.closed)
 
+    def test_broken_pipe_stdin_close(self):
+        # Issue #26372: BrokenPipeError must be ignored on stdin.close()
+        # in communicate()
+        proc = subprocess.Popen([sys.executable, '-c', 'pass'],
+                                stdin=subprocess.PIPE)
+        with proc, mock.patch.object(proc, 'stdin') as m_stdin:
+            m_stdin.close.side_effect = BrokenPipeError
+
+            # check that BrokenPipeError exception raised by stdin.close()
+            # in _stdin_write() is ignored
+            proc.communicate()
+
+    def test_broken_pipe_stdin_close_timeout(self):
+        # Issue #26372: BrokenPipeError must be ignored on stdin.close()
+        # in communicate()
+        proc = subprocess.Popen([sys.executable, '-c', 'pass'],
+                                stdin=subprocess.PIPE)
+        with proc, mock.patch.object(proc, 'stdin') as m_stdin:
+            m_stdin.close.side_effect = BrokenPipeError
+
+            # check that BrokenPipeError exception raised by stdin.close()
+            # in _communicate() is ignored
+            proc.communicate(timeout=1.0)
+
 
 def test_main():
     unit_tests = (ProcessTestCase,