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 Roman Catholic bishop
- Luca Torreggiani (died 1699), Italian Roman Catholic bishop
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