Peasgood is a surname. Notable people with the surname include:

Alison Peasgood (born 1987), British paratriathlete George Peasgood (born 1995), British paratriathlete Emily Peasgood (born 1981), English composer and sound artist James T. Peasgood (1890–1957), American embezzler Julie Peasgood (born 1956), English actor, television presenter, author and voiceover artist Osborne Peasgood (1902–1962), English organist

See also Peasgood's Nonsuch, an apple cultivar