Wragg is a surname. Notable people with the name include:
Arthur Wragg (1903—76), British illustratorDoug Wragg (born 1934), English soccer playerGeoff Wragg (born 1930), Racehorse trainerHarry Wragg (1902—85), British jockey and trainerSir Herbert Wragg (1880—1956), British Conservative Party politician, Member of Parliament (MP) for Belper 1923–29 and 1931–45Kaye Wragg (born 1973), English actressPeter Wragg (1931—2004), English soccer playerTed Wragg (1938—2005), British educationalistUlamila Kurai Wragg (born 1968), Fijian journalistWillie Wragg (1875—after 1904), English soccer playerWilliam Wragg, British Conservative Party politician, MP for Hazel Grove since May 2015Michael Wragg, (born 1966) British Research Industry Leader