Viviani is a surname. Notable people with the surname include:
Anselmo Viviani (born 1915), Italian cross-country skierAntonio Viviani (1560–1620), painterElia Viviani (born 1989), cyclistFabio 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 unionistGiovanni Buonaventura Viviani (1638–1693), composer and violinistJody Viviani (born 1982), footballerOttavio Viviani (c. 1579–c. 1641), painterRaffaele Viviani (1888–1950), authorRené Viviani (1863–1925), French politician and prime ministerVincenzo Viviani (1622–1703), mathematician and scientistRaffaele Viviani (1888–1950), playwright and actor