diff --git a/Lib/tokenize.py b/Lib/tokenize.py
index 6528b90..0eccc9b 100644
--- a/Lib/tokenize.py
+++ b/Lib/tokenize.py
@@ -496,8 +496,15 @@
             # BOM will already have been stripped.
             encoding = "utf-8"
         yield TokenInfo(ENCODING, encoding, (0, 0), (0, 0), '')
-    while True:             # loop over lines in stream
+    last_line = b''
+    line = b''
+    while True:                                # loop over lines in stream
         try:
+            # We capture the value of the line variable here because
+            # readline uses the empty string '' to signal end of input,
+            # hence `line` itself will always be overwritten at the end
+            # of this loop.
+            last_line = line
             line = readline()
         except StopIteration:
             line = b''
@@ -652,6 +659,9 @@
                            (lnum, pos), (lnum, pos+1), line)
                 pos += 1
 
+    # Add an implicit NEWLINE if the input doesn't end in one
+    if last_line and last_line[-1] not in '\r\n':
+        yield TokenInfo(NEWLINE, '', (lnum - 1, len(last_line)), (lnum - 1, len(last_line) + 1), '')
     for indent in indents[1:]:                 # pop remaining indent levels
         yield TokenInfo(DEDENT, '', (lnum, 0), (lnum, 0), '')
     yield TokenInfo(ENDMARKER, '', (lnum, 0), (lnum, 0), '')