Murray was diagnosed with Stage 4 colon cancer three years ago.
During his final two seasons behind the bench, Murray became the first Red Wings coach since Tommy Ivan (1950-51, 1951-52) to produce back-to-back 40-win seasons.
"The Bears are saddened to hear of the passing of former head coach Bryan Murray", the team said in a statement. He won the Jack Adams Award as the NHL's top coach in 1983-84 after leading Washington to the first of three straight 100-point seasons.
After six and a half years with the Panthers Murray was let go as general manager, but like so many times before he quickly rebounded and landed in Anaheim as head coach of the Ducks.
"As we mourn Bryan's passing, we celebrate his many contributions to the game - as well as his courage".
Murray was general of the Ducks when they reached the Stanley Cup Finals in 2003 and the franchise remembered him on Saturday.
Murray coached for 18 seasons, spending time with the Capitals, Red Wings, Panthers and Ducks.
In 17 seasons as a head coach, Murray had a 620-465-131-23 record, won three division titles and guided the Senators to the Stanley Cup Finals in 2007, when they lost a five-game series to Anaheim.
The Capitals had not been to the playoffs in their first eight years of existence before making seven consecutive postseason trips under Murray.
During off season in 2007, Murray was promoted to General Manager of the Senators. Hall of Famer Larry Robinson said Murray's death made for a "sad day for hockey".More news: Trump tweets he's "impressed" with sanctions against North Korea
David Poile, now Nashville's GM, inherited Murray as coach when he was GM of the Capitals and said he learned more from him than he taught. Murray made the playoffs in 12 of his 13 full seasons as head coach.
One of 10 children born to Clarence and Rhoda Murray, Bryan Murray spent 35 consecutive years in the National Hockey League after becoming Washington's coach in 1981.
"My thoughts and prayers are with the entire Murray family", Senators captain Erik Karlsson tweeted.
"That's just the kind of guy he was. He wanted what was best for you as a person".
Bryan Murray took on the bench boss role of the Ottawa Senators in 2004.
"He would come in and just sit down with guys", he said.
After stepping down from his general manager position in 2016, he served alongside GM Pierre Dorion as a special adviser.
Murray went public with his diagnosis to encourage people to get colonoscopies and understand the importance of catching the disease as early as possible. "Sometimes as hockey people we feel a little invincible and we don't always want to talk about this kind of thing, but maybe we need to change that".
Among the many moves Murray made with the Panthers in his six-plus seasons: drafting Ed Jovanovski and Radek Dvorak; trading for Pavel Bure, Roberto Luongo and Olli Jokinen; and trading the likes of Dvorak, Jovanovski and Stu Barnes.