The Glasgow giants will face each other at the National Stadium in the final four of the competition.
In the other team, Falkirk will meet Inverness Caley Thistle. The two teams will be rubbing hands in hopes of reaching the 2022/23 Cup Final.
The draw took place this evening following the Falkirk v Ayr United game.
Inverness booked their place at Hampden with a victory over Kilmarnock on Friday night.
Billy McKay and Sean Welch scored the goals for Billy Dodd’s side to start the weekend.
They knocked out Celtic Hearts to reach the semi-finals, with Rangers defeating Raith Rovers in the quarter-finals.
Hoops’ 3-0 win on Saturday was a landmark for Ange Postecoglou’s side. League champions Aaron Mooy got off to a fast start, while goals from Keogo and Cameron Carter-Vickers secured victory.
For the Michael Bell men, they were down easy street in the Wraith house. Conor Goldson and Scott Arfield scored an own goal.
Falkirk were the last team to reach the cap just before equalizing with a dramatic 2-1 victory over Ayr United.
They lost 1-0 to their opponents in the championship, but Callumn Morrison and Kai Kennedy turned the game on its head in dramatic fashion.
Read more: Celtic, Rangers and Reconstruction puzzles with lots of conflicts
The two continents will be held at the end of April in Hampden.
One match will be played on Saturday 29th April while the second match will be played on Sunday 30th April.
The launch dates and details of the TV shows will be announced in the coming days.
The full Scottish Cup semi-final draw
Rangers vs Celtic
Falkirk vs Inverness
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