Bagshaw is an English surname. Notable people with the surname include:
Amy Bagshaw (October 10, 1988 - age 24), international gymnast
Christopher Bagshaw (1552–1625?), English academic and Roman Catholic priest
Elizabeth Bagshaw (1881-1982), Canadian doctor and medical director of the first birth control clinic in Canada
Harry Bagshaw (1859–1927), English cricketer
Henry Bagshaw (divine) (1632–1709), English divine
John Bagshaw (1784–1861), British politician
John Stokes Bagshaw (1808–1888), a manufacturer of agricultural machinery in South Australia.
William Bagshaw (1628–1702), an English presbyterian and nonconformist minister, known as the "Apostle of the Peak".
