Slim can be either a given name or a surname. People so named include:
Carlos Slim Helú (born 1940), Mexican businessman and one of the richest people in the world
Carlos Slim Domit (born 1967), Mexican businessman and son of the above
Mongi Slim (1908-1969), Tunisian diplomat and the first African President of the United Nations General Assembly
William Slim, 1st Viscount Slim (1891–1970), British field marshal and thirteenth Governor-General of Australia
Slim Amamou (born 1977), Tunisian blogger and government minister
Slim Barrett (born 1960s), jewellery designer and artist
Slim Belkhodja (born 1962), Tunisian chess Grandmaster
Slim Dziri (1875-1953), Tunisian government minister
