diff --git a/Doc/library/py_compile.rst b/Doc/library/py_compile.rst
index a4f06de597b14e..3e1a01b761de3c 100644
--- a/Doc/library/py_compile.rst
+++ b/Doc/library/py_compile.rst
@@ -57,6 +57,10 @@ byte-code cache files in the directory containing the source code.
    enum and controls how the generated ``.pyc`` files are invalidated at
    runtime.
 
+   If the :envvar:`SOURCE_DATE_EPOCH` environment variable is set, the timestamp
+   entry in the ``.pyc`` file header will be set to this value.
+   See https://reproducible-builds.org/specs/source-date-epoch/ for more info.
+
    .. versionchanged:: 3.2
       Changed default value of *cfile* to be :PEP:`3147`-compliant.  Previous
       default was *file* + ``'c'`` (``'o'`` if optimization was enabled).
@@ -71,6 +75,7 @@ byte-code cache files in the directory containing the source code.
 
    .. versionchanged:: 3.7
       The *invalidation_mode* parameter was added as specified in :pep:`552`.
+      Support for :envvar:`SOURCE_DATE_EPOCH` was also added.
 
 
 .. class:: PycInvalidationMode
diff --git a/Lib/py_compile.py b/Lib/py_compile.py
index a0f4defdce68c9..385f0591fd085e 100644
--- a/Lib/py_compile.py
+++ b/Lib/py_compile.py
@@ -147,6 +147,14 @@ def compile(file, cfile=None, dfile=None, doraise=False, optimize=-1,
         pass
     if invalidation_mode == PycInvalidationMode.TIMESTAMP:
         source_stats = loader.path_stats(file)
+        source_date_epoch = os.environ.get('SOURCE_DATE_EPOCH')
+        if source_date_epoch:
+            try:
+                source_date_epoch = int(source_date_epoch)
+            except ValueError:
+                raise ValueError("SOURCE_DATE_EPOCH is not a valid integer")
+            if source_stats['mtime'] > source_date_epoch:
+                source_stats['mtime'] = source_date_epoch
         bytecode = importlib._bootstrap_external._code_to_timestamp_pyc(
             code, source_stats['mtime'], source_stats['size'])
     else:
diff --git a/Lib/test/test_py_compile.py b/Lib/test/test_py_compile.py
index bcb686c86b5229..5e59187a83f4ab 100644
--- a/Lib/test/test_py_compile.py
+++ b/Lib/test/test_py_compile.py
@@ -98,6 +98,18 @@ def test_bad_coding(self):
         self.assertFalse(os.path.exists(
             importlib.util.cache_from_source(bad_coding)))
 
+    def test_source_date_epoch(self):
+        testtime = 123456789
+        with support.EnvironmentVarGuard() as env:
+            env["SOURCE_DATE_EPOCH"] = str(testtime)
+            py_compile.compile(self.source_path, self.pyc_path)
+        self.assertTrue(os.path.exists(self.pyc_path))
+        self.assertFalse(os.path.exists(self.cache_path))
+        with open(self.pyc_path, "rb") as f:
+            f.read(4) # Skip the magic number.
+            timebytes = f.read(4) # Read timestamp.
+        self.assertEqual(testtime, int.from_bytes(timebytes, 'little'))
+
     @unittest.skipIf(sys.flags.optimize > 0, 'test does not work with -O')
     def test_double_dot_no_clobber(self):
         # http://bugs.python.org/issue22966
diff --git a/Misc/NEWS.d/next/Build/2017-09-07-04-20-49.bpo-29708.YCaHEx.rst b/Misc/NEWS.d/next/Build/2017-09-07-04-20-49.bpo-29708.YCaHEx.rst
new file mode 100644
index 00000000000000..4166d5d638cf27
--- /dev/null
+++ b/Misc/NEWS.d/next/Build/2017-09-07-04-20-49.bpo-29708.YCaHEx.rst
@@ -0,0 +1,2 @@
+If the SOURCE_DATE_EPOCH environment variable is set,
+py_compile will use it to override the timestamps it puts into .pyc files.