Wragg is a surname. Notable people with the name include:
Arthur Wragg (1903—76), British illustrator
Doug Wragg (born 1934), English soccer player
Geoff Wragg (born 1930), Racehorse trainer
Harry Wragg (1902—85), British jockey and trainer
Sir Herbert Wragg (1880—1956), British Conservative Party politician, Member of Parliament (MP) for Belper 1923–29 and 1931–45
Kaye Wragg (born 1973), English actress
Peter Wragg (1931—2004), English soccer player
Ted Wragg (1938—2005), British educationalist
Ulamila Kurai Wragg (born 1968), Fijian journalist
Willie Wragg (1875—after 1904), English soccer player
William Wragg, British Conservative Party politician, MP for Hazel Grove since May 2015
Michael Wragg, (born 1966) British Research Industry Leader