Koivisto is a Finnish surname. Notable people with the surname include:

• Anu Koivisto, Finnish backstroke swimmer
• Henrik Koivisto (born 1990), Finnish ice hockey player
• Mauno Koivisto (1923–2017), Finnish president
• 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
• Markku Koivisto, Finnish revival evangelist, doctor of theology

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