Zaremba is a Czech, Russian or Polish surname, it may refer to:
- Coat of arms of Zaremba
- John Zaremba, American actor
- Mateusz Zaremba, Polish handballer
- Nikolai Zaremba, Russian composer and teacher
- Ota Zaremba, Czech weightlifter
- Peter Zaremba, American hammer thrower
- Peter Zaremba, member of The Fleshtones
- Stanisław Zaremba, Polish mathematician