Klass is a Germanic surname. Notable people with the surname include:
Alisha Klass, American pornographic actressChrista Klaß (Christa Klass, (born 1951), German politicianCraig Klass (born 1965), former water polo playerDan Klass, co-author of Podcast SolutionsDavid Klass, American screenplay writer and children's authorEdward Klass (born 1965), American water polo playerEugene Klass (born 1919), known as American actor Gene BarryJohn Klass (born 1975), triple-platinum award-winning singer/producer/songwriter/radio presenterGünter Klass (1936-1967), German race driverMyleene Klass (born 1978), British musician, former member of the UK pop group Hear'SayPerri Klass, pediatrician and writerPhilip Klass (born 1920), American science fiction writer under the name William TennPhilip J. Klass (1919–2005), American UFO researcherSholom Klass (1916–2000), Rabbi and editor of The Jewish PressWil Klass, American travel writer