Klengel is a German surname. People with that name include:

• August Alexander Klengel (1783-1852), German pianist, organist and composer, son of Johann Christian
• {{Interlanguage link multi|Johann Christian Klengel|de}} (1751-1824), German engraver and painter, father of August Alexander
• Julius Klengel (1859-1933), German cellist and composer, brother of Paul
• Paul Klengel (1854-1935), German violinist/violist/pianist and composer, brother of Julius
• Wolf Caspar von Klengel (1634–1691), Baroque architect in Dresden

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