Damm is a surname. Notable people with the surname include:
- Arvid Damm, artist
- Jürgen Damm, Mexican professional footballer
- Martin Damm Sr. (born 1972), Czech tennis player, father of Martin Damm Jr.
- Martin Damm Jr. (born 2003), American tennis player, son of Martin Damm Sr.
- Rodrigo Damm, Brazilian mixed martial artist
- Tobias Damm (born 1983), German footballer
- Ulrik Damm, Danish curler and coach