Rasmus is the surname of:
- Claire Rasmus (born 1996), American freestyle swimmer
- Colby Rasmus (born 1986), American Major League Baseball player
- Cory Rasmus (born 1987), American Major League Baseball player
- Hans Rasmus Hansen (1896–1971), Danish politician
- Ingolf E. Rasmus (1906–1996), American lawyer and politician
- Pete Rasmus (1906–1975), American discus thrower