Torreggiani is a surname. Notable people with the surname include:
Alfonso Torreggiani (1682–1764), Italian architect Antonio Cassar-Torreggiani (1882–1959), Maltese businessman Austin Cassar-Torreggiani (1915–?), Maltese sprinter Camillo Torreggiani (1820–1896), Italian sculptor Elzear Torreggiani (1830–1904), Italian Catholic bishop Luca Torreggiani (died 1699), Italian Catholic bishop