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 OlympicsEmílio Henrique Baumgart (1889–1943), Brazilian engineerJames Baumgart (born 1938), former American member of the Wisconsin State Assembly and the Wisconsin State SenateLloyd R. Baumgart (1908–1985), former American member of the Wisconsin State AssemblySteffen Baumgart (born 1972), former German football player