diff --git a/Tools/scripts/reindent.py b/Tools/scripts/reindent.py
--- a/Tools/scripts/reindent.py
+++ b/Tools/scripts/reindent.py
@@ -45,6 +45,7 @@
 
 import tokenize
 import os
+import re
 import shutil
 import sys
 
@@ -209,6 +210,8 @@
         have2want = {}
         # Program after transformation.
         after = self.after = []
+        # Regular expression to detect a triple quote
+        triple_re = re.compile(tokenize.Triple)
         # Copy over initial empty lines -- there's nothing to do until
         # we see a line with *something* on it.
         i = stats[0][0]
@@ -254,10 +257,27 @@
             if diff == 0 or have == 0:
                 after.extend(lines[thisstmt:nextstmt])
             else:
+                inside_triple = False
                 for line in lines[thisstmt:nextstmt]:
                     if diff > 0:
+                        changed_triple = False
+                        if not inside_triple and triple_re.search(line):
+                            triple_style = '"""' if '"""' in line else "'''"
+                            # Conditions for NOT setting inside_triple:
+                            # 1. The triple quote gets closed in the same line
+                            # 2. It's a docstring
+                            if (not line.strip().startswith(triple_style) and
+                                triple_style not in line.replace(
+                                    triple_style, '', 1)):
+                                inside_triple = True
+                                changed_triple = True
+
                         if line == "\n":
                             after.append(line)
+                        # Avoid not indenting the line where the triple quote
+                        # first appears.
+                        elif inside_triple and not changed_triple:
+                            after.append(line)
                         else:
                             after.append(" " * diff + line)
                     else: