diff --git a/CHANGELOG.md b/CHANGELOG.md
index 98eaade..84a0c5d 100644
--- a/CHANGELOG.md
+++ b/CHANGELOG.md
@@ -11,6 +11,7 @@ The format is based on [Keep a Changelog](https://keepachangelog.com/en/1.0.0/).
 - `ValueError` when trying to decrypt empty metadata values ([#766](https://github.com/pdfminer/pdfminer.six/issues/766))
 - Sphinx errors during building of documentation ([#760](https://github.com/pdfminer/pdfminer.six/pull/760))
 - `TypeError` when getting default width of font ([#720](https://github.com/pdfminer/pdfminer.six/issues/720))
+- `TypeError` in cmapdb.py when parsing null characters ([#768](https://github.com/pdfminer/pdfminer.six/pull/768))
 
 ### Deprecated
 
diff --git a/pdfminer/psparser.py b/pdfminer/psparser.py
old mode 100644
new mode 100755
index c7f8a17..0b94e32
--- a/pdfminer/psparser.py
+++ b/pdfminer/psparser.py
@@ -334,6 +334,8 @@ class PSBaseParser:
             self._curtoken = b""
             self._parse1 = self._parse_wclose
             return j + 1
+        elif c == b"\x00":
+            return j + 1
         else:
             self._add_token(KWD(c))
             return j + 1