The former all rounder died in a retirement home in east England. Firefighters rescued his wife.
Bailey played 61 test matches in a 10-year international career and spent 21 seasons with English county side Essex.
After retiring as a player, he became a cricket writer and broadcaster.
"Trevor Bailey was not only one of the finest all-round cricketers this country has ever produced, he was also someone who made an enormous contribution to the game as an administrator and as a writer and broadcaster," England and Wales Cricket Board chairman Giles Clarke said.
"His loss will be deeply felt by everyone within the cricket community and we send our sympathies to his family and many friends within the game." Bailey was best known as a player for an obdurate 71 over more than four hours against Australia at Lord's in 1953, helping secure a draw in the second Ashes test.
The teams drew every match aside from the final test at The Oval, which England won by eight wickets to regain the Ashes.
"Trevor was a true allrounder, on and off the field," ECB chief executive David Collier said. "He was a great friend and inspiration during my early career at Essex.
"Everyone who met Trevor could not fail to be impressed by his deep love and knowledge of cricket. It was a passion that he was able to communicate to millions via radio.
and there will be very many cricket supporters in this country who will be mourning his loss in such tragic circumstances."
