Sassetti is a surname of Italian origin. Notable people with the surname include:
Andrea Sassetti (born 1960), Italian shoe designer and businessman Bernardo Sassetti (1970–2012), Portuguese jazz pianist and film composer Filippo Sassetti, (1540–1588), Italian merchant Francesco Sassetti (1421–1490), Italian banker João Sassetti (1892–1946), Portuguese fencer
See also Sassetti Chapel, a chapel in the basilica of Santa Trinita, Florence, Italy