Galassi is an Italian surname. Notable people with the surname include:
Antonio Galassi (1845–1904), Italian opera singer Galasso Galassi, Italian Renaissance painter Jonathan Galassi (born 1949), American publisher, translator and poet Lorenzo Galassi (born 1991), Italian footballer Mara Galassi (born 1956), Italian harpist and musicologist Mark Galassi (born 1965), American scientist