His death was announced by the British Society of Cinematographers (BSC), of which he was a founding member and former president.
Morris won an Academy Award for the 1971 musical Fiddler On The Roof and won 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."
Oswald Morris was born in November 1915 in Hillingdon, Middlesex, where he was educated at Bishopshalt School.
The dedicated film fan worked as a cinema projectionist during his school holidays, before entering the industry in 1932 as a runner and clapper boy at Wembley Studios.
By 1938, he had progressed to camera operator before his career was curtailed by World War Two. He enlisted with the RAF and served as a bomber pilot, earning a Distinguished Flying Cross.
Following the war, Morris returned to cinema and worked on several productions, including director David Lean's adaptation of Oliver Twist, starring Robert Newton and Alec Guinness.
He later served as cinematographer on Carol Reed's musical Oliver! starring Ron Moody and Oliver Reed. In all, he photographed nearly 60 movies.
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, inspired by Ronald Neame and Guy Green; who in turn has himself been an inspiration to a new generation of cinematographers."