Davidson is a member of the Sport Australia Hall of Fame and the ICC Hall of Fame. He was also made a member of the Order of the British Empire (MBE) in 1964 and awarded the Order of Australia (AM) in 1987.
Cricket Australia Chair Richard Freudenstein said in a statement: "Alan Davidson's passing is a sad moment for Australian cricket and for cricket across the world.
"Alan was a colossal figure in our game, not only as one of the finest players to have represented Australia and NSW, but for the positive influence he exerted across the game as an administrator, mentor and benefactor.
"The tremendous skill and the boundless spirit with which Alan embraced cricket and life embodied everything that is great about the game. He will remain a shining example for every player who follows in his footsteps.
"On behalf of Cricket Australia, and all those who benefited from Alan's vast contribution across Australian cricket, I offer my deepest condolences to the Davidson family as well Alan's many close friends, colleagues and former teammates."
Less than 24 hours earlier, it was announced that former Australian Test spinner Ashley Mallett had died aged 76.
Then, on Monday morning, news broke that former Australian Test cricketer and coach Peter Philpott had died at the age of 86 due to complications from a fall.
The leg-spinning all-rounder played eight Tests for Australia in the mid-1960s, taking 26 wickets at an average of 38.46.
A strong proponent of spin bowling, Philpott pursued a career in coaching and had stints with many teams, including Yorkshire, Surrey, Mosman, Sri Lanka nd Australia.
As a tribute to Davidson and Mallett, New South Wales spinner Nathan Lyon wore a black armband during his innings against Victoria at Drummoyne Oval on Saturday.
Meanwhile, the flag atop the SCG's Members Pavilion is at half-mast on Saturday in tribute to Davidson, who claimed a wicket with his finally delivery in Test cricket at the Sydney venue.
Cricket NSW chief executive and former Black Caps captain Lee Germon said in a statement: "Alan Davidson was one of New South Wales' greatest ever cricketers and we are extremely saddened to hear of his passing.
"From everyone at Cricket NSW and all of those who benefitted from Alan's massive contribution to the sport, I'd like to pass on my condolences to his family and friends.
"Alan's involvement in cricket was far greater than just his outstanding playing career and his legacy will live on in the state for many years to come.
"He was a wonderful player, administrator, mentor and benefactor, but most of all he was a gentleman of the game."
