Allanson is a surname. Notable people with the surname include:
Andy Allanson (born 1961), American baseball player
Ashley Allanson (born 1986), professional footballer
Noel Allanson (born 1925), Australian rules footballer
Robert Allanson (1735–1846), British architect
Rowland Allanson-Winn, 5th Baron Headley (1855–1935), Irish peer
Susie Allanson (born 1952), American country music singer and actress