diff --git a/CHANGELOG b/CHANGELOG
index 6aa1e278..745328e6 100644
--- a/CHANGELOG
+++ b/CHANGELOG
@@ -23,7 +23,8 @@ Bug Fixes
 * Fix parsing of nested order clauses (issue745, pr746 by john-bodley).
 * Thread-safe initialization of Lexer class (issue730).
 * Classify TRUNCATE as DDL and GRANT/REVOKE as DCL keywords (based on pr719
-  by josuc1, thanks for bringing this up!)
+  by josuc1, thanks for bringing this up!).
+* Fix parsing of PRIMARY KEY (issue740).
 
 
 Release 0.4.4 (Apr 18, 2023)
diff --git a/sqlparse/keywords.py b/sqlparse/keywords.py
index 029d8bae..3b963557 100644
--- a/sqlparse/keywords.py
+++ b/sqlparse/keywords.py
@@ -77,6 +77,7 @@
     (r'DOUBLE\s+PRECISION\b', tokens.Name.Builtin),
     (r'GROUP\s+BY\b', tokens.Keyword),
     (r'ORDER\s+BY\b', tokens.Keyword),
+    (r'PRIMARY\s+KEY\b', tokens.Keyword),
     (r'HANDLER\s+FOR\b', tokens.Keyword),
     (r'GO(\s\d+)\b', tokens.Keyword),
     (r'(LATERAL\s+VIEW\s+)'
diff --git a/tests/test_regressions.py b/tests/test_regressions.py
index 961adc17..29cb502c 100644
--- a/tests/test_regressions.py
+++ b/tests/test_regressions.py
@@ -444,3 +444,9 @@ def test_copy_issue672():
     p = sqlparse.parse('select * from foo')[0]
     copied = copy.deepcopy(p)
     assert str(p) == str(copied)
+
+
+def test_primary_key_issue740():
+    p = sqlparse.parse('PRIMARY KEY')[0]
+    assert len(p.tokens) == 1
+    assert p.tokens[0].ttype == T.Keyword
\ No newline at end of file