Coombes is an English surname. Notable people with the surname include:
Charly Coombes (born 1980), American-born, English multi-instrumentalist and vocalist
Gaz Coombes (born 1976), English musician and singer-songwriter (Supergrass)
Geoff Coombes (1919–2002), English-born, US international footballer (soccer)
Gregg Coombes (born 1988), Welsh footballer
James Coombes (disambiguation)
Leah Coombes (born 1994), British actress
Peet Coombes (1952–1997), British musician, guitarist and vocalist
Richard Coombes (1858–1935), English-born journalist and 'father' of amateur athletics in Australia
Rob Coombes (born 1972), English musician (Supergrass)
Robert Coombes (1808–1860), English oarsman and world champion sculler
Rod Coombes (born 1946), English singer-songwriter and musician
William Henry Coombes (1767–1850), English Catholic priest, theologian and writer