Cressman is a surname. Notable people with the surname include:
- Beverley Cressman, a British actress
- Dave Cressman (born 1950), retired Canadian ice hockey left winger
- George P. Cressman (1919–2008), American meteorologist and National Weather Service director (1965-1979)
- Glen Cressman (born 1934), retired Canadian professional ice hockey forward
- Joseph Cressman Thompson or Joseph Cheesman Thompson, M. D., (1874–1943), career medical officer in the United States Navy
- Luther Cressman (1897–1994), American anthropologist
- Tom Cressman, murdered by Jane Andrews, a one-time Royal dresser for Sarah, the Duchess of York