Zammit is a common Maltese and Tunisian surname. Notable people with the surname include:
Aidan Zammit, Maltese musician
Alfredo Cachia Zammit, Maltese politician
Frederick Zammit, Maltese TV writer
Ivan Zammit, Maltese footballer
Ninu Zammit, Maltese politician
Paul Zammit, Australian politician
Paul Zammit (footballer), Maltese footballer and manager
Robert Zammit, Australian veterinarian and TV personality
Stephanie Zammit, former Miss Malta
Sir Themistocles Zammit, Maltese archeologist, historian and medical doctor