Apthorp is a surname. Notable people with the surname include:
Charles Apthorp (1698–1758), American merchant and slave traderJohn Apthorp, British businessman specializing in frozen food and alcoholic beveragesWilliam Foster Apthorp (1848-1913), American music professor and criticBenjamin Apthorp Gould (1824-1896), American astronomerFrederick Apthorp Paley (1815-1888), English classical scholarSarah Wentworth Apthorp Morton (1759-1846), American poetBenjamin Apthorp Gould Fuller (1879-1956), philosopher