Today, the Scot will get the chance for revenge over Novak Djokovic, who edged him out in five sets in the semi-finals at the recent Australian Open.
Yesterday, Murray ended a run of three straight defeats by Berdych with a 6-3, 7-5 triumph.
The Scot spent much of the second set pulling at his right knee, which can bother him, but he produced enough good stuff to get the job done.
Murrray said: "Tactically I was doing the right things and then maybe I got away from that a little bit. I fought and did what I had to do to win."
Djokovic has taken the game to new levels but Murray is happy with his game and how things have been progressing under coach Ivan Lendl.
Of the match, Murray said: "I had a game match with him in Australia and, hopefully, I can reverse the result."
Berdych saved six match points before the Scot served and closed out the tie.
The other semi-final will be between Roger Federer and Juan Martin Del Potro. Federer continued to progress with a 6-3, 6-4 win over Mikhail Youzhny of Russia, while Del Potro upset fourth-seed Jo-Wilfried Tsonga 7-6, 6-1.
However, there was disappointment for Jamie Murray when he and Australia's Paul Hanley were beaten 6-3, 6-3 by No.4 seeds Mahesh Bhupathi and Rohan Bopanna.
l Scotland's Colin Fleming and his English partner Ross Hutchins reached the semi-final stage of the Delray Beach International in Florida when the beat the Belgians Steve Darcis and Olivier Rochus 6-1, 6-2.