Mr Fulton, who suffered from Motor Neurone Disease, founded frozen food company Fultons Foods in 1960 and became chairman at Castleford RLFC in the early 1990s.
Plans for a new Castleford Tigers stadium as part of a £135m retail and leisure development next to junction 32 of the M62 moved a major step forward on Monday.
Wakefield Council formally offered Lateral Property Group planning permission for the scheme, set to create 2,000 jobs.
Tigers’ chief executive Steve Gill, said: “Hopefully we can make a tribute to Jack when the stadium is built.”
Paying tribute to Mr Fulton, Mr Gill said: “He was the silent man of rugby league. He just got on with it and did what he had to do. To me, he was like a father figure.
“He helped me through the early years as chief executive of Cas Tigers. He was encouraging and he was just a great man to know.
“I’m happy that I have had someone like Jack in my life and to be able to say I could call him a good friend.”
Mr Gill added: “It is a sad day for Castleford Tigers and a sad day for rugby league and the world in general. There weren’t many men who had the dignity Jack had.
“He saved our club probably more times than I can remember.
“He was really well-loved and well-respected. In his name, we will make sure this club goes from strength to strength.”
A statement on the Tigers’ website said: “It is with great sadness that Castleford Tigers announce the passing of chairman Jack Fulton today.
“Our sincere condolences go out to the Fulton family. We’d ask that our fans respect the families privacy at this difficult time.
“Club tributes will follow in due course.”
Wakefield Wildcats chairman Michael carter tweeted: ‘Condolences to the Fulton family on the sad passing of @CTRLFC chairman Jack from everyone at @WTWildcatsRL.’