Jones played 385 games for Leeds, scoring 144 tries and scoring 1,244 goals, and also coached the 'A' team following a spell in Australia.
In later years, Jones remained a keen supporter at the ground where he made his name in the league.
Leeds chief executive Gary Hetherington said: “Headingley will not be the same without Lewis.”
“He never missed a Rhinos home game and remained passionate about the team. He was one of rugby's first superstars in the 1950s and is legendary within Leeds and rugby league. He has achieved a great position.”
“We will be sad to see him go, but we will celebrate his life with our fans.”
The Rhinos will wear the black armband for Friday's Super League game at Leigh, before paying full tribute to Jones in their next home game against St Helens.
Mr Jones' daughter Karen Westaway said: “I would like to thank all the staff at St James's Hospital for providing such excellent and compassionate care to my father over the past few days.”
“Today, while Leeds bid farewell to a rugby legend, we wish to share with you a wonderful father whose warmth and kindness will never be forgotten by his family and all who were lucky enough to know him.” I am saying goodbye to my father, my mentor and coach.”
Originally from Swansea, Neath and Llanelli played club rugby union on both sides of the international circuit before making his debut for Wales against England in 1950.
After leading Wales to the Grand Slam that year, he was called up as a substitute for the Lions' tour of New Zealand and Australia, scoring 26 points in three Tests.
He won six further caps for Wales as a center and winger, and completed another Grand Slam in 1952 before moving to Leeds in the league.