Ibbetson is a surname. Notable people with the surname include:
Agnes Ibbetson (1757–1823), English vegetable physiologist Arthur Ibbetson (1922–1997), British cinematographer David Ibbetson, British legal scholar Denzil Ibbetson, KCSI (1847–1908), administrator in British India and an author Henry Selwin-Ibbetson, 1st Baron Rookwood (1826–1902), 7th Baronet 1869–1892, and British Conservative politician Julius Caesar Ibbetson (1759–1817), British 18th-century landscape and watercolour painter Levett Landon Boscawen Ibbetson (1799–1869), 19th century geologist, inventor, organiser and soldier Robert Ibbetson (1789–1880), colonial governor of the Straits Settlements of Penang, Malacca, and Singapore from 1832 to 1834
See also Peter Ibbetson, 1891 novel by George du Maurier and multiple adaptations of that novel in several mediums