Respighi () is an Italian surname from Lombardy and Emilia. It may refer to:
Carlo Respighi (1873–1947), Italian Roman Catholic priest Elsa Respighi (1894–1996), Italian composer Emilio Respighi (1860–1936), Italian dermatologist Lorenzo Respighi (1824–1889), Italian astronomer, mathematician and natural philosopher Respighi (crater), lunar crater named after him 16930 Respighi, minor planet named after him Ottorino Respighi (1879–1936), Italian musician and composer Pietro Respighi (1843–1913), Italian Roman Catholic cardinal