Jardine passed away earlier this year after a long battle with cancer and members of the famous 1972 European Cup-Winners' Cup team returned to Ibrox as the club and Light Blue legions remembered him before the Championship fixture against Hearts.
As well as having a distinguished playing career, Jardine was a key figure behind the scenes at Rangers following a stint at Tynecastle and will now have a lasting memorial at the Gers' famous home.
Stein said: "It is a great gesture from Rangers. Sandy was my team-mate and he will always be remembered for being a great Rangers man.
"He was a great man for Hearts as well so it was appropriate that the stand was named after him on Sunday. It was a nice touch for him and his family.
"Sandy was a great player and ambassador for Rangers and had a spell at Hearts with Alex MacDonald at Tynecastle as well.
"He was a wonderful player and guy who will never be forgotten.
"I am pleased to see the stand being named in his honour, it is a fitting tribute."