A
- Aaron Chapman, Canadian musician and writer
- Abel Chapman (1851–1929), British born hunter-naturalist
- Adam Chapman (born 1989), Northern Irish footballer
- Alfred Chapman (1829–1915), American real estate attorney and investor, best known as one of the founders of Orange, California
- Alger Chapman (1904–1983), American attorney, businessman and New York State official
- Allan Chapman
- Allan Chapman (historian) (born 1946), British historian of science
- Allan Chapman (politician) (1897–1966), Scottish Unionist Member of Parliament 1935–1945
- Alvah Chapman, Jr. (1921–2008), American newspaper publisher
- Alvan Wentworth Chapman, American botanist
- Amy Chapman (born 1987), Australian soccer player
- Andrew Grant Chapman (1839–1892), American politician
- Andy Chapman (born 1959), British indoor soccer player
- Anna Kushchyenko-Chapman (born 1982), Russian Entrepreneur, television host, and agent of the Russian Federation
- Anne Chapman, Franco-American ethnologist
- Annie Chapman (1841–1888), English victim of Jack the Ripper
- Aroldis Chapman (born 1988), Cuban baseball player
- Art Chapman
- Art Chapman, (1906–1962), Canadian Ice Hockey player and Olympian
- Art Chapman (basketball) (1912–1986), Canadian basketball player
- Arthur Chapman
- Arthur Chapman (poet) (1873–1935), American poet and newspaper columnist
- Arthur B. Chapman (1908–2004), British-American animal genetic researcher
- Augustus Chapman
- Augustus A. Chapman (1805–1876), American lawyer and Democrat Party politician
- Augustus Chapman Allen (1806–1864), American founder of Houston, Texas
- Austin Chapman (1864–1926), Australian Protectionist Party politician
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