Keeping is a surname. Notable people with the surname include:
Charles Keeping (1924–1988), British illustrator, children's book author and lithographer
Frederick Keeping (1867–1950), British racing cyclist
Jeff Keeping (born 1982), Canadian Football League defensive tackle
Max Keeping (1942–2015), Canadian television news anchor
Michael Keeping (1902–1984), English footballer and manager (son of Frederick Keeping)