diff --git a/llvm/utils/lit/lit/Test.py b/llvm/utils/lit/lit/Test.py
--- a/llvm/utils/lit/lit/Test.py
+++ b/llvm/utils/lit/lit/Test.py
@@ -220,6 +220,10 @@
         # triple parts. All of them must be False for the test to run.
         self.unsupported = []
 
+        # An optional number of retries allowed before the test finally succeeds.
+        # The test is run at most once plus the number of retries specified here.
+        self.allowed_retries = getattr(config, 'test_retry_attempts', 0)
+
         # The test result, once complete.
         self.result = None
 
diff --git a/llvm/utils/lit/lit/TestRunner.py b/llvm/utils/lit/lit/TestRunner.py
--- a/llvm/utils/lit/lit/TestRunner.py
+++ b/llvm/utils/lit/lit/TestRunner.py
@@ -1182,13 +1182,15 @@
     LIST: A keyword taking a comma-separated list of values.
     BOOLEAN_EXPR: A keyword taking a comma-separated list of 
         boolean expressions. Ex 'XFAIL:'
+    INTEGER: A keyword taking a single integer. Ex 'ALLOW_RETRIES:'
     CUSTOM: A keyword with custom parsing semantics.
     """
     TAG = 0
     COMMAND = 1
     LIST = 2
     BOOLEAN_EXPR = 3
-    CUSTOM = 4
+    INTEGER = 4
+    CUSTOM = 5
 
     @staticmethod
     def allowedKeywordSuffixes(value):
@@ -1196,6 +1198,7 @@
                  ParserKind.COMMAND:      [':'],
                  ParserKind.LIST:         [':'],
                  ParserKind.BOOLEAN_EXPR: [':'],
+                 ParserKind.INTEGER:      [':'],
                  ParserKind.CUSTOM:       [':', '.']
                } [value]
 
@@ -1205,6 +1208,7 @@
                  ParserKind.COMMAND:      'COMMAND',
                  ParserKind.LIST:         'LIST',
                  ParserKind.BOOLEAN_EXPR: 'BOOLEAN_EXPR',
+                 ParserKind.INTEGER:      'INTEGER',
                  ParserKind.CUSTOM:       'CUSTOM'
                } [value]
 
@@ -1247,6 +1251,8 @@
             self.parser = self._handleList
         elif kind == ParserKind.BOOLEAN_EXPR:
             self.parser = self._handleBooleanExpr
+        elif kind == ParserKind.INTEGER:
+            self.parser = self._handleSingleInteger
         elif kind == ParserKind.TAG:
             self.parser = self._handleTag
         elif kind == ParserKind.CUSTOM:
@@ -1312,6 +1318,18 @@
         return output
 
     @staticmethod
+    def _handleSingleInteger(line_number, line, output):
+        """A parser for INTEGER type keywords"""
+        if output is None:
+            output = []
+        try:
+            n = int(line)
+        except ValueError:
+            raise ValueError("INTEGER parser requires the input to be an integer (got {})".format(line))
+        output.append(n)
+        return output
+
+    @staticmethod
     def _handleBooleanExpr(line_number, line, output):
         """A parser for BOOLEAN_EXPR type keywords"""
         parts = [s.strip() for s in line.split(',') if s.strip() != '']
@@ -1331,8 +1349,8 @@
 def parseIntegratedTestScript(test, additional_parsers=[],
                               require_script=True):
     """parseIntegratedTestScript - Scan an LLVM/Clang style integrated test
-    script and extract the lines to 'RUN' as well as 'XFAIL' and 'REQUIRES'
-    and 'UNSUPPORTED' information.
+    script and extract the lines to 'RUN' as well as 'XFAIL', 'REQUIRES',
+    'UNSUPPORTED' and 'ALLOW_RETRIES' information.
 
     If additional parsers are specified then the test is also scanned for the
     keywords they specify and all matches are passed to the custom parser.
@@ -1353,6 +1371,7 @@
                                     initial_value=test.requires),
         IntegratedTestKeywordParser('UNSUPPORTED:', ParserKind.BOOLEAN_EXPR,
                                     initial_value=test.unsupported),
+        IntegratedTestKeywordParser('ALLOW_RETRIES:', ParserKind.INTEGER),
         IntegratedTestKeywordParser('END.', ParserKind.TAG)
     ]
     keyword_parsers = {p.keyword: p for p in builtin_parsers}
@@ -1412,6 +1431,14 @@
             "Test does not support the following features "
             "and/or targets: %s" % msg)
 
+    # Handle ALLOW_RETRIES:
+    allowed_retries = keyword_parsers['ALLOW_RETRIES:'].getValue()
+    if allowed_retries:
+        if len(allowed_retries) > 1:
+            return lit.Test.Result(Test.UNRESOLVED,
+                                   "Test has more than one ALLOW_RETRIES lines")
+        test.allowed_retries = allowed_retries[0]
+
     # Enforce limit_to_features.
     if not test.isWithinFeatureLimits():
         msg = ', '.join(test.config.limit_to_features)
@@ -1477,10 +1504,8 @@
                                              normalize_slashes=useExternalSh)
     script = applySubstitutions(script, substitutions)
 
-    # Re-run failed tests up to test_retry_attempts times.
-    attempts = 1
-    if hasattr(test.config, 'test_retry_attempts'):
-        attempts += test.config.test_retry_attempts
+    # Re-run failed tests up to test.allowed_retries times.
+    attempts = test.allowed_retries + 1
     for i in range(attempts):
         res = _runShTest(test, litConfig, useExternalSh, script, tmpBase)
         if res.code != Test.FAIL:
diff --git a/llvm/utils/lit/tests/Inputs/allow-retries/does-not-succeed-within-limit.py b/llvm/utils/lit/tests/Inputs/allow-retries/does-not-succeed-within-limit.py
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/Inputs/allow-retries/does-not-succeed-within-limit.py
@@ -0,0 +1,3 @@
+# ALLOW_RETRIES: 3
+
+# RUN: false
diff --git a/llvm/utils/lit/tests/Inputs/allow-retries/lit.cfg b/llvm/utils/lit/tests/Inputs/allow-retries/lit.cfg
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/Inputs/allow-retries/lit.cfg
@@ -0,0 +1,9 @@
+import lit.formats
+config.name = 'allow-retries'
+config.suffixes = ['.py']
+config.test_format = lit.formats.ShTest()
+config.test_source_root = None
+config.test_exec_root = None
+
+config.substitutions.append(('%python', lit_config.params.get('python', '')))
+config.substitutions.append(('%counter', lit_config.params.get('counter', '')))
diff --git a/llvm/utils/lit/tests/Inputs/allow-retries/more-than-one-allow-retries-lines.py b/llvm/utils/lit/tests/Inputs/allow-retries/more-than-one-allow-retries-lines.py
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/Inputs/allow-retries/more-than-one-allow-retries-lines.py
@@ -0,0 +1,4 @@
+# ALLOW_RETRIES: 3
+# ALLOW_RETRIES: 5
+
+# RUN: true
diff --git a/llvm/utils/lit/tests/Inputs/allow-retries/not-a-valid-integer.py b/llvm/utils/lit/tests/Inputs/allow-retries/not-a-valid-integer.py
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/Inputs/allow-retries/not-a-valid-integer.py
@@ -0,0 +1,3 @@
+# ALLOW_RETRIES: not-an-integer
+
+# RUN: true
diff --git a/llvm/utils/lit/tests/Inputs/allow-retries/succeeds-within-limit.py b/llvm/utils/lit/tests/Inputs/allow-retries/succeeds-within-limit.py
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/Inputs/allow-retries/succeeds-within-limit.py
@@ -0,0 +1,24 @@
+# ALLOW_RETRIES: 5
+
+# RUN: "%python" "%s" "%counter"
+
+import sys
+import os
+
+counter_file = sys.argv[1]
+
+# The first time the test is run, initialize the counter to 1.
+if not os.path.exists(counter_file):
+    with open(counter_file, 'w') as counter:
+        counter.write("1")
+
+# Succeed if this is the fourth time we're being run.
+with open(counter_file, 'r') as counter:
+    num = int(counter.read())
+    if num == 4:
+        sys.exit(0)
+
+# Otherwise, increment the counter and fail
+with open(counter_file, 'w') as counter:
+    counter.write(str(num + 1))
+    sys.exit(1)
diff --git a/llvm/utils/lit/tests/Inputs/test_retry_attempts/lit.cfg b/llvm/utils/lit/tests/Inputs/test_retry_attempts/lit.cfg
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/Inputs/test_retry_attempts/lit.cfg
@@ -0,0 +1,10 @@
+import lit.formats
+config.name = 'test_retry_attempts'
+config.suffixes = ['.py']
+config.test_format = lit.formats.ShTest()
+config.test_source_root = None
+config.test_exec_root = None
+
+config.test_retry_attempts = 5
+config.substitutions.append(('%python', lit_config.params.get('python', '')))
+config.substitutions.append(('%counter', lit_config.params.get('counter', '')))
diff --git a/llvm/utils/lit/tests/Inputs/test_retry_attempts/test.py b/llvm/utils/lit/tests/Inputs/test_retry_attempts/test.py
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/Inputs/test_retry_attempts/test.py
@@ -0,0 +1,22 @@
+# RUN: "%python" "%s" "%counter"
+
+import sys
+import os
+
+counter_file = sys.argv[1]
+
+# The first time the test is run, initialize the counter to 1.
+if not os.path.exists(counter_file):
+    with open(counter_file, 'w') as counter:
+        counter.write("1")
+
+# Succeed if this is the fourth time we're being run.
+with open(counter_file, 'r') as counter:
+    num = int(counter.read())
+    if num == 4:
+        sys.exit(0)
+
+# Otherwise, increment the counter and fail
+with open(counter_file, 'w') as counter:
+    counter.write(str(num + 1))
+    sys.exit(1)
diff --git a/llvm/utils/lit/tests/Inputs/testrunner-custom-parsers/test.txt b/llvm/utils/lit/tests/Inputs/testrunner-custom-parsers/test.txt
--- a/llvm/utils/lit/tests/Inputs/testrunner-custom-parsers/test.txt
+++ b/llvm/utils/lit/tests/Inputs/testrunner-custom-parsers/test.txt
@@ -13,6 +13,9 @@
 // MY_BOOL: b)
 // MY_BOOL: d
 //
+// MY_INT: 4
+// MY_INT: 6
+//
 // MY_BOOL_UNTERMINATED: a \
 //
 // END.
diff --git a/llvm/utils/lit/tests/allow-retries.py b/llvm/utils/lit/tests/allow-retries.py
new file mode 100644
--- /dev/null
+++ b/llvm/utils/lit/tests/allow-retries.py
@@ -0,0 +1,41 @@
+# Check the behavior of the ALLOW_RETRIES keyword.
+
+# This test uses a file that's stable across retries of the test to fail and
+# only succeed the fourth time it is retried.
+#
+# RUN: rm -f %t.counter
+# RUN: %{lit} -j 1 %{inputs}/allow-retries/succeeds-within-limit.py -Dcounter=%t.counter -Dpython=%{python} | FileCheck --check-prefix=CHECK-TEST1 %s
+# CHECK-TEST1: Passes With Retry  : 1
+
+# Test that a per-file ALLOW_RETRIES overwrites the config-wide test_retry_attempts property, if any.
+#
+# RUN: rm -f %t.counter
+# RUN: %{lit} -j 1 %{inputs}/allow-retries/succeeds-within-limit.py -Dtest_retry_attempts=2 -Dcounter=%t.counter -Dpython=%{python} | FileCheck --check-prefix=CHECK-TEST2 %s
+# CHECK-TEST2: Passes With Retry  : 1
+
+# This test does not succeed within the allowed retry limit
+#
+# RUN: not %{lit} -j 1 %{inputs}/allow-retries/does-not-succeed-within-limit.py | FileCheck --check-prefix=CHECK-TEST3 %s
+# CHECK-TEST3: Failing Tests (1):
+# CHECK-TEST3: allow-retries :: does-not-succeed-within-limit.py
+
+# This test should be UNRESOLVED since it has more than one ALLOW_RETRIES
+# lines, and that is not allowed.
+#
+# RUN: not %{lit} -j 1 %{inputs}/allow-retries/more-than-one-allow-retries-lines.py | FileCheck --check-prefix=CHECK-TEST4 %s
+# CHECK-TEST4: Unresolved Tests (1):
+# CHECK-TEST4: allow-retries :: more-than-one-allow-retries-lines.py
+
+# This test does not provide a valid integer to the ALLOW_RETRIES keyword.
+# It should be unresolved.
+#
+# RUN: not %{lit} -j 1 %{inputs}/allow-retries/not-a-valid-integer.py | FileCheck --check-prefix=CHECK-TEST5 %s
+# CHECK-TEST5: Unresolved Tests (1):
+# CHECK-TEST5: allow-retries :: not-a-valid-integer.py
+
+# This test checks that the config-wide test_retry_attempts property is used
+# when no ALLOW_RETRIES keyword is present.
+#
+# RUN: rm -f %t.counter
+# RUN: %{lit} -j 1 %{inputs}/test_retry_attempts/test.py -Dcounter=%t.counter -Dpython=%{python} | FileCheck --check-prefix=CHECK-TEST6 %s
+# CHECK-TEST6: Passes With Retry  : 1
diff --git a/llvm/utils/lit/tests/unit/TestRunner.py b/llvm/utils/lit/tests/unit/TestRunner.py
--- a/llvm/utils/lit/tests/unit/TestRunner.py
+++ b/llvm/utils/lit/tests/unit/TestRunner.py
@@ -57,6 +57,7 @@
             IntegratedTestKeywordParser("MY_DNE_TAG.", ParserKind.TAG),
             IntegratedTestKeywordParser("MY_LIST:", ParserKind.LIST),
             IntegratedTestKeywordParser("MY_BOOL:", ParserKind.BOOLEAN_EXPR),
+            IntegratedTestKeywordParser("MY_INT:", ParserKind.INTEGER),
             IntegratedTestKeywordParser("MY_RUN:", ParserKind.COMMAND),
             IntegratedTestKeywordParser("MY_CUSTOM:", ParserKind.CUSTOM,
                                         custom_parse),
@@ -112,6 +113,17 @@
         self.assertEqual(value[0].strip(), "a && (b)")
         self.assertEqual(value[1].strip(), "d")
 
+    def test_integer(self):
+        parsers = self.make_parsers()
+        self.parse_test(parsers)
+        int_parser = self.get_parser(parsers, 'MY_INT:')
+        value = int_parser.getValue()
+        self.assertEqual(len(value), 2)  # there are only two MY_INT: lines
+        self.assertEqual(type(value[0]), int)
+        self.assertEqual(value[0], 4)
+        self.assertEqual(type(value[1]), int)
+        self.assertEqual(value[1], 6)
+
     def test_boolean_unterminated(self):
         parsers = self.make_parsers() + \
             [IntegratedTestKeywordParser("MY_BOOL_UNTERMINATED:", ParserKind.BOOLEAN_EXPR)]
diff --git a/llvm/utils/vim/syntax/llvm.vim b/llvm/utils/vim/syntax/llvm.vim
--- a/llvm/utils/vim/syntax/llvm.vim
+++ b/llvm/utils/vim/syntax/llvm.vim
@@ -203,6 +203,7 @@
 syn match  llvmSpecialComment /;\s*PR\d*\s*$/
 syn match  llvmSpecialComment /;\s*REQUIRES:.*$/
 syn match  llvmSpecialComment /;\s*RUN:.*$/
+syn match  llvmSpecialComment /;\s*ALLOW_RETRIES:.*$/
 syn match  llvmSpecialComment /;\s*CHECK:.*$/
 syn match  llvmSpecialComment "\v;\s*CHECK-(NEXT|NOT|DAG|SAME|LABEL):.*$"
 syn match  llvmSpecialComment /;\s*XFAIL:.*$/
diff --git a/llvm/utils/vscode/llvm/syntaxes/ll.tmLanguage.yaml b/llvm/utils/vscode/llvm/syntaxes/ll.tmLanguage.yaml
--- a/llvm/utils/vscode/llvm/syntaxes/ll.tmLanguage.yaml
+++ b/llvm/utils/vscode/llvm/syntaxes/ll.tmLanguage.yaml
@@ -319,6 +319,8 @@
     name: string.regexp
   - match: ";\\s*RUN:.*$"
     name: string.regexp
+  - match: ";\\s*ALLOW_RETRIES:.*$"
+    name: string.regexp
   - match: ";\\s*CHECK:.*$"
     name: string.regexp
   - match: ";\\s*CHECK-(NEXT|NOT|DAG|SAME|LABEL):.*$"