Musgrave is a surname originating in the former county of Westmorland, now part of Cumbria in Northern England, where there are two villages called Great Musgrave and Little Musgrave. Notable people with the surname include:
- Alan Musgrave, philosopher and academic
- Andrew Musgrave, British cross-country skier
- Anthony Musgrave, British colonial administrator
- Anthony Musgrave (entomologist), great-nephew of the above
- Bill Musgrave (born 1967), American football coach and former player
- Charles Musgrave is an American chemist in the field of nanotechnology
- Christopher Musgrave (disambiguation), multiple people
- Harrison Musgrave, American baseball player
- Henry Musgrave, Victorian philanthropist, Northern Ireland
- Sir James Musgrave, 1st Baronet, 19th-century businessman
- Joe Musgrave (1908–1981), English footballer
- John Musgrave, an American Vietnam veteran, poet, counselor, and veterans' affairs advocate
- John Musgrave (cricketer), (1845–1885), English cricketer
- Ken Musgrave, professor and CEO/CTO of Pandromeda, Inc.
- Luke Musgrave (born 2000), American football player
- Mandy Musgrave, American actress
- Marilyn Musgrave, American politician
- Philip Musgrave (disambiguation), multiple people
- Richard Musgrave (economist)
- Rosamund "Posy" Musgrave, British former cross-country skier
- Samuel Musgrave, English classical scholar and physician
- Simon Musgrave, (died 1597), English landowner
- Susan Musgrave, Canadian poet
- Story Musgrave, NASA Astronaut
- Ted Musgrave, NASCAR Driver
- Thea Musgrave, Scottish-American composer
- Thomas Musgrave (disambiguation), multiple people