Stanley chief executive Rob Heys has paid tribute to Burnley chairman Barry who will step down at the end of the season.
Kilby, who is battling cancer, not only brought success to Turf Moor but also came good on his 2009 promise to "always help our neighbours down the road."
"He’s been a magnificent figure in the game," Heys said.
"He’s well respected not only at Burnley Football Club but throughout the world of football.
"He did a lot for us during the ‘Save Our Stanley’ campaign in 2009 and he’s been a fantastic friend to this club throughout our time in the Football League.
"When everything was new to us, he was willing to lend a helping hand and we’d like to say a massive thank you to him for all of that."
Kilby, whose business Total Gaming Solutions Ltd is based in Accrington, joined Burnley’s board in 1998 and was named chairman in December of that year – after just two months with the club – becoming majority shareholder the following January.
Following 13 years at the helm, Kilby has been diagnosed with cancer and so he now plans to step aside at the end of the campaign to concentrate on battling the disease.
In his time at the Turf Moor. Kilby has led the Clarets to two promotions and the club’s 2009/10 Premier League campaign was Burnley’s first season in the top flight of English football for 33 years
"It is an honour and a privilege to have been at the helm of this great club for the past 13 years," he said.
"I will, of course, give my full support to my successor and hopefully will still be able to make a significant contribution to the well-being and progress of Burnley Football Club.
"I have been diagnosed with cancer and that is something I have to deal with. Obviously that is going to be a big change in my life and that means it is the right time to take stock and stand down as chairman."