diff --git a/Lib/test/test_tokenize.py b/Lib/test/test_tokenize.py
index 38da106..a51e781 100644
--- a/Lib/test/test_tokenize.py
+++ b/Lib/test/test_tokenize.py
@@ -278,6 +278,31 @@
     OP         '+'           (1, 32) (1, 33)
     STRING     'UR"ABC"'     (1, 34) (1, 41)
 
+    >>> dump_tokens("b'abc' + B'abc'")
+    STRING     "b'abc'"      (1, 0) (1, 6)
+    OP         '+'           (1, 7) (1, 8)
+    STRING     "B'abc'"      (1, 9) (1, 15)
+    >>> dump_tokens('b"abc" + B"abc"')
+    STRING     'b"abc"'      (1, 0) (1, 6)
+    OP         '+'           (1, 7) (1, 8)
+    STRING     'B"abc"'      (1, 9) (1, 15)
+    >>> dump_tokens("br'abc' + bR'abc' + Br'abc' + BR'abc'")
+    STRING     "br'abc'"     (1, 0) (1, 7)
+    OP         '+'           (1, 8) (1, 9)
+    STRING     "bR'abc'"     (1, 10) (1, 17)
+    OP         '+'           (1, 18) (1, 19)
+    STRING     "Br'abc'"     (1, 20) (1, 27)
+    OP         '+'           (1, 28) (1, 29)
+    STRING     "BR'abc'"     (1, 30) (1, 37)
+    >>> dump_tokens('br"abc" + bR"abc" + Br"abc" + BR"abc"')
+    STRING     'br"abc"'     (1, 0) (1, 7)
+    OP         '+'           (1, 8) (1, 9)
+    STRING     'bR"abc"'     (1, 10) (1, 17)
+    OP         '+'           (1, 18) (1, 19)
+    STRING     'Br"abc"'     (1, 20) (1, 27)
+    OP         '+'           (1, 28) (1, 29)
+    STRING     'BR"abc"'     (1, 30) (1, 37)
+
 Operators
 
     >>> dump_tokens("def d22(a, b, c=2, d=2, *k): pass")
diff --git a/Lib/tokenize.py b/Lib/tokenize.py
index ae3de54..1cba6e5 100644
--- a/Lib/tokenize.py
+++ b/Lib/tokenize.py
@@ -70,10 +70,10 @@
 Single3 = r"[^'\\]*(?:(?:\\.|'(?!''))[^'\\]*)*'''"
 # Tail end of """ string.
 Double3 = r'[^"\\]*(?:(?:\\.|"(?!""))[^"\\]*)*"""'
-Triple = group("[uU]?[rR]?'''", '[uU]?[rR]?"""')
+Triple = group("[uUbB]?[rR]?'''", '[uUbB]?[rR]?"""')
 # Single-line ' or " string.
-String = group(r"[uU]?[rR]?'[^\n'\\]*(?:\\.[^\n'\\]*)*'",
-               r'[uU]?[rR]?"[^\n"\\]*(?:\\.[^\n"\\]*)*"')
+String = group(r"[uUbB]?[rR]?'[^\n'\\]*(?:\\.[^\n'\\]*)*'",
+               r'[uUbB]?[rR]?"[^\n"\\]*(?:\\.[^\n"\\]*)*"')
 
 # Because of leftmost-then-longest match semantics, be sure to put the
 # longest operators first (e.g., if = came before ==, == would get
@@ -91,9 +91,9 @@
 Token = Ignore + PlainToken
 
 # First (or only) line of ' or " string.
-ContStr = group(r"[uU]?[rR]?'[^\n'\\]*(?:\\.[^\n'\\]*)*" +
+ContStr = group(r"[uUbB]?[rR]?'[^\n'\\]*(?:\\.[^\n'\\]*)*" +
                 group("'", r'\\\r?\n'),
-                r'[uU]?[rR]?"[^\n"\\]*(?:\\.[^\n"\\]*)*' +
+                r'[uUbB]?[rR]?"[^\n"\\]*(?:\\.[^\n"\\]*)*' +
                 group('"', r'\\\r?\n'))
 PseudoExtras = group(r'\\\r?\n', Comment, Triple)
 PseudoToken = Whitespace + group(PseudoExtras, Number, Funny, ContStr, Name)