Viviani is a surname. Notable people with the surname include:
Anselmo Viviani (born 1915), Italian cross-country skier
Antonio Viviani (1560–1620), painter
Elia Viviani (born 1989), cyclist
Fabio Viviani (chef) (born 1978)
Fabio Viviani (footballer) (born 1966)
Federico Viviani (footballer born 1981)
Federico Viviani (footballer born 1992)
Guillermo Viviani (1893–1964), Chilean Roman Catholic priest and trade unionist
Giovanni Buonaventura Viviani (1638–1693), composer and violinist
Jody Viviani (born 1982), footballer
Ottavio Viviani (c. 1579–c. 1641), painter
Raffaele Viviani (1888–1950), author
René Viviani (1863–1925), French politician and prime minister
Vincenzo Viviani (1622–1703), mathematician and scientist
Raffaele Viviani (1888–1950), playwright and actor