Apthorp is a surname. Notable people with the surname include:
Charles Apthorp (1698–1758), American merchant and slave trader
John Apthorp, British businessman specializing in frozen food and alcoholic beverages
William Foster Apthorp (1848-1913), American music professor and critic
Benjamin Apthorp Gould (1824-1896), American astronomer
Frederick Apthorp Paley (1815-1888), English classical scholar
Sarah Wentworth Apthorp Morton (1759-1846), American poet
Benjamin Apthorp Gould Fuller (1879-1956), philosopher