The full-back, who played in the team that won the European Cup Winners' Cup in 1972, died three months ago after losing an 18-month battle with cancer. Rangers say that the Govan Stand is to be known as the Sandy Jardine Stand.
The former Scotland defender also worked for the club's commercial department and was based in the offices at the Govan Stand for many years after returning to the club once he had hung up his boots.
Rangers officials say the dedication will be in place in time for the opening SPFL Championship fixture of the season against Hearts - Jardine was both a player and joint-manager there - at Ibrox on Sunday, August 10. His family will be guests of the club on the day.
Jardine's widow Shona said: "My husband considered it a great honour and privilege to represent Rangers Football Club and I know he would have been extremely proud to receive this lasting tribute from the club he loved."
Graham Wallace, the Rangers chief executive, added: "Sandy Jardine epitomised everything that is good about Rangers Football Club. He was a man of principle and class and his contribution throughout his career both on and off the pitch was truly incredible. His achievements are unlikely to be seen again in the modern game and this is a truly fitting way to honour Sandy's memory. The re-naming of the Govan Stand will be a permanent tribute to a man who gave everything for Rangers. He was a credit to Rangers for decades and his dignity, class and love for the club shone through.
"We have lost a true gentleman but he will never be forgotten and everyone at the club is immensely proud to rename the stand in his honour."
Ally McCoist, the manager, said: "There have been many great names associated with Rangers Football Club but I can think of no-one more deserving of this tribute than Sandy Jardine. A Rangers legend in every sense of the word, he will always be in our hearts. Sandy's achievements both on and off the pitch were second to none. He gave everything for this great club."
Jardine was twice player of the year in Scotland and helped Rangers win two domestic trebles, in 1976 and '78. He played in two World Cups, won 38 Scotland caps and made almost 800 appearances for Rangers, scoring 77 goals.