Corbett died of a heart attack on 21 March 1982 in Hastings, East Sussex. He was 57 years old. He is buried in the graveyard at St Michael the Archangel church at Penhurst, East Sussex. The headstone inscription, chosen by his wife Maureen, reads "The earth can have but earth, which is his due: My spirit is thine, the better part of me", from William Shakespeare's Sonnet 74. Maureen was buried alongside him in 1999. Corbett is commemorated in the name of the Corbett Theatre at the East 15 Acting School at Loughton.