Kirkup is a surname. Notable people with the surname include:

Alan Kirkup (born 1956), English soccer player and coach in the United States Dan Kirkup (born 1988), English footballer Eddie Kirkup (1929–2008), English athlete James Kirkup (1918–2009), English poet Joe Kirkup (born 1939), English footballer Martin Kirkup (1948–2024), British-American music industry executive Seymour Kirkup (1788–1880), English painter Toby Kirkup (1972–2020), English actor, writer and television presenter, known for his role as a police sergeant on Peaky Blinders Zak Kirkup (born 1987), Australian politician