Coombs is an English surname. Notable people with the surname include:

• Anthony Coombs (politician), British politician
• Anthony Coombs, Canadian football player
• Bobby Coombs (1908–1991), American baseball player
• Clyde Coombs (1912–1988), American psychologist
• David Coombs, British author, historian and teacher
• David Coombs (lawyer), American lawyer
• Derek Coombs (1931–2014), British politician
• Doug Coombs (1957–2006), American skier and mountaineer
• Ernie Coombs (1927–2001), Canadian/American children's entertainer
• Frank Coombs (1853–1934), American politician
• H. C. Coombs (1906–1997), Australian economist
• Jack Coombs (1882–1957), American baseball player
• James Coombs (1869–1935), American football coach
• Joe Coombs, British canoe slalom athlete
• John Coombs (1922–2013), British racing driver and racing team owner
• Kris Coombs-Roberts, Welsh guitarist
• Mary Coombs (1929–2022), English computer programmer
• Michelle Coombs, American geologist
• Nathan Coombs (1826–1877), American founder of Napa, California
• Orde M. Coombs (1939–1984), Saint Vincent-born American writer and editor
• Pat Coombs (1926–2002), English actress
• Patricia Coombs, American children's author and illustrator
• Peter Coombs (1928–2020), English priest
• Robert Coombs (politician), Australian politician
• Robert Coombs (cricketer), English cricketer
• Robin Coombs (1921–2006), British immunologist
• Simon Coombs, British politician
• Stephen Coombs, British pianist
• Ted Coombs, American artist, roller skater and forensic scientist
• W. H. Coombs (1816–1896), English/Australian priest