Terpstra is a Dutch surname of Frisian origin, which is a topographic name for a person who lived on a terp, a prehistoric man-made mound built on low-lying land as a habitation site. The name may refer to:
Anne Terpstra (born 1991), Dutch Olympic cross-country cyclistErica Terpstra (born 1943), Dutch politicianJohn Terpstra, Canadian poetMike Terpstra (born 1963), American basketball coachMike Terpstra (cyclist) (born 1987), Dutch cyclistNiki Terpstra (born 1984), Dutch cyclistVern Terpstra (1927–2013), American business theorist