Moresby is a surname. Notable people with the surname include:
Tracy Moresby (1867–?), New Zealand cricketer Elizabeth Louisa Moresby (1862–1931), British novelist Fairfax Moresby (1786–1877), British admiral George Moresby-White ( 1933–1952), British playwright and screenwriter John Moresby (1830–1922), British admiral Robert Moresby (1794–1854 or 1863), British naval captain and hydrographer