Koivisto is a Finnish surname. Notable people with the surname include:
Anu Koivisto, Finnish backstroke swimmer Emma Koivisto, Finnish professional footballer Henrik Koivisto (born 1990), Finnish ice hockey player Mauno Koivisto (1923–2017), Finnish president Rami Koivisto (born 1968), Finnish ice hockey player Tellervo Koivisto (née Kankaanranta, born 1929), Finnish politician and the former First Lady of Finland Tellervo M. Koivisto (née Heino, 1927–1982), Finnish teacher and politician Tom Koivisto, Finnish ice hockey player Toni Koivisto, Finnish ice hockey player Markku Koivisto, Finnish revival evangelist, doctor of theology