Drost is a Dutch occupational surname.^{[citation needed]} A drost or drossaard was a kind of bailiff in the Low countries (see landdrost and seneschal). Notable people with the surname include:

• Epi Drost (1945–1995), Dutch footballer
• Erik Drost (born 1977), Dutch guitarist
• Frank Drost (born 1963), Dutch swimmer
• Henrico Drost (born 1987), Dutch footballer
• Jeff Drost (born 1964), American football player
• Jeroen Drost (born 1987), Dutch footballer
• Jesper Drost (born 1993), Dutch footballer
• Johannes Drost (1880–1954), Dutch swimmer
• Monique Drost (born 1964), Dutch swimmer
• Nico Drost (born 1980), Dutch politician
• Peter Drost (born 1958), Dutch swimmer
• Robert Drost (born 1970), American computer scientist
• Rudolf Drost (1892–1971), German ornithologist
• Willem Drost (1633–1659), Dutch painter