Warburton and his Brentford assistant Weir left the London outfit at the end of the 2014-15 season and later took the Rangers job.
The 53-year-old, with Weir at his side, led the Gers to Scottish Premiership promotion in their first season after the Glasgow giants dominated the Championship last term, winning by 11 points.
By virtue of their good work, the Rangers' hierarchy has extended the duo's contracts until 2019.
Weir knew a thing or two about Rangers long before he took the assistant manager's role, having spent five years at the club as a player, and the former centre-half told Warburton all about the Ibrox side before their appointment 13 months ago.
“Mark and I have enjoyed every second of our time in Glasgow so far but the adventure is just beginning and we are all excited to start the new season," he said via The Daily Record.
"I told Mark what a unique and special club Rangers was before we started our work here and he has now experienced it for himself."
Rangers have signed eight players this summer as Warburton plans an assault on the Scottish Premiership. Pipping Celtic to a sixth successive title will be tough, but few would be overly surprised if they did it.