His death was announced by the British Society of Cinematographers (BSC), of which he was a founding member and former president. He won an Academy Award for the 1971 musical Fiddler On The Roof and four Baftas, including one for the 1965 Sean Connery film The Hill.
Morris, who died at his home in Dorset, leaves a son Roger and daughters Christine and Gillian.
In a statement, the BSC said it was "deeply saddened" by the death of Morris, known affectionately as Ossie. It added: "He had been suffering recently and was happy to move on, which he did contentedly at his home in Fontmell Magna - but it is a great loss to us all."
Morris was awarded a Bafta fellowship in 1997 and received the British Society of Cinematographers' Lifetime Achievement Award in 2003. The BSC said: "Ossie will be sorely missed by those in the industry, a delightful man who has been an inspiration to a new generation of cinematographers."