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- M. Chapman, English Olympian
- Margaret Chapman (1940–2000), British illustrator and painter
- Marguerite Chapman (1918–1999), American actress
- Maria Weston Chapman (1806–1885), American abolitionist
- Mark Chapman
- Mark Chapman (DJ) (born 1973), British radio sports newsreader and DJ
- Mark David Chapman (born 1955), American, assassin of former Beatle John Lennon
- Mark Lindsay Chapman (born 1954), English film and television actor
- Marshall Chapman (born 1949), American country rock singer/songwriter
- Mary Chapman, British Chief Executive of the Chartered Management Institute
- Matt Chapman (The Brothers Chaps), duo responsible for the creation of the Homestar Runner series of animated cartoons
- Matthew Chapman (author) (born 1950), British journalist, screenwriter and director; also great-great grandson of Charles Darwin
- Michael Chapman
- Michael Chapman (bassoonist) (1934–2005), British bassoonist
- Michael Chapman (born 1941), British guitarist and singer-songwriter
- Michael Chapman (cinematographer) (born 1935), American cinematographer
- Michael Chapman (lawyer), American, legal adviser to the Office of Military Commissions, in Guantanamo
- Michael Chapman (Missouri Director of Homeland Security), American Director of Homeland Security for Missouri
- Michelle Chapman (known as Tori Black, born 1988), American pornographic actress
- Mike Chapman
- Mike Chapman, Australian record producer and songwriter
- Mike Chapman (The Brothers Chaps), duo responsible for the creation of the Homestar Runner series of animated cartoons
- Minerva J. Chapman (1858–1947), American painter
- Mitchell Chapman (born 1983), Australian Rugby Union player
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