"We have sadly lost a cherished link with our past," Cricket Australia chairman Wally Edwards said in a statement on Saturday.
"Arthur Morris was a great man and one of the true greats of Australian cricket who until now had been a treasured connection to an extraordinary era of the game.
"When Australia's best openers are discussed his name will always be one of the first mentioned.
"We extend our deepest sympathies to Arthur's wife Judith and his family at this sad time. He will be greatly missed but remembered forever."
An 18-year-old Morris scored two centuries for NSW on his first-class debut, but his career was soon after interrupted by the Second World War, during which he served in the Australian Army.
Upon the resumption of cricket in 1946, Morris made his Test debut against England in Brisbane and three matches later scored twin Ashes centuries at Adelaide Oval.
Morris was Australia's most prolific batsman during the 1948 Invincibles tour in an extremely strong batting line-up that included Bradman, Barnes, Neil Harvey and Lindsay Hassett.
Morris racked up 696 runs at an average of 87 in a five-Test series Australia dominated in winning 4-0.
In the fourth Test at Headingley when Australia were set a record 404 for victory on the last day, Morris made 182 in a 301-run stand with Bradman that steered them to a famous seven-wicket win.
Morris and Barnes struck a century opening stand every 4.3 Test innings, the best of any Australian opening pair ahead of current combination David Warner and Chris Rogers (4.6).
Morris captained Australia in two Tests - in 1951 against the West Indies when Hassett was injured and in 1954 against England when Ian Johnson and Keith Miller were both injured.
Morris was awarded an MBE in 1974.
He was too ill to attend a ceremony at the SCG on Wednesday to officially open the Arthur Morris Gates at the ground.
His death leaves Harvey as the only living member of the Invincibles team.
-AAP
