Salemme is a family surname of Italian origin. It may refer to:
Antonio Salemme (1892–1995), Italian-born American painter Attilio Salemme (1911–1955) American painter and muralist Britta Curl-Salemme (born 2000), American ice hockey player Erasmo Salemme (born 1946), Italian volleyball player and coach Frank Salemme (1933–2022), American mobster, boss of the Patriarca family Lucia Autorino Salemme (c. 1919–2010), American painter, educator, and writer Vincenzo Salemme (born 1957), Italian actor, playwright and director