MacSween and McSween are surnames of Gaelic origin. People with those surnames include:
Alexander McSween (c.1843-1878), Canadian-American participant in the Lincoln County War of 1878
Donald McSween (born 1964), American ice hockey player
Harold B. McSween (1926–2002), U.S. Representative from Louisiana.
Harry McSween (born 1945), American geologist and planetologist
John MacSween (fl. 1310), Scottish nobleman
John MacSween (haggis entrepreneur) (1939–2006), Scottish butcher and entrepreneur
MacSween, a Scottish company founded by John MacSween, known for making haggis
Roderick MacSween (born 1935), Scottish pathologist
Susan McSween (1845–1931), American rancher