Baumgart is a surname. Notable people with the surname include:
Bernd Baumgart (born 1955), German rower who competed for East Germany in the 1976 Summer Olympics
Emílio Henrique Baumgart (1889–1943), Brazilian engineer
James Baumgart (born 1938), former American member of the Wisconsin State Assembly and the Wisconsin State Senate
Lloyd R. Baumgart (1908–1985), former American member of the Wisconsin State Assembly
Steffen Baumgart (born 1972), former German football player