The British world number two softened Berdych up the third amusement and spared two break focuses in the following before dashing through the first set in 38 minutes.
Murray made it nine progressive recreations to get to 3-0 in the second set before securing a semi-last against Novak Djokovic at 13:00 BST on Saturday.
"I felt I managed the entire match," the 28-year-old Scot told Sky Sports.
"Against somebody serving as large as him, it's not generally simple to do. I didn't have an excessive amount of guarding to do. I served well and got a decent read on his serve."
Murray was soothed the challenge just kept going 78 minutes, saying: "I'm exceptionally content with the execution and I get the opportunity to monitor some vitality. It's really late here and it takes 90 minutes to return to the inn."
World number one Djokovic moved into the last four with a 7-6 (8-6) 6-1 win over Australian Bernard Tomic.
The Serb was pushed the distance in an exciting opening set, edging the tie-break, before Tomic abdicated in the second.
Djokovic won his last match against Murray in Shanghai, in the 2012 last.
"It'll be a to a great degree intense match," the Briton said of Saturday's experience.
"We played awesome tennis in the 2012 last, however I feel like we are very distinctive players from that point forward. I feel the two of us have advanced and play diverse tennis. We are presently entirely forceful."
Prior, Rafael Nadal's renaissance stepped forward as he whipped a hailing Stan Wawrinka for the loss of only three recreations.
The Spaniard beat the world number four 6-2 6-1 for his first win over a main five player in over a year, expanding on his rushed to a week ago's China Open last.
Nadal will meet Frenchman Jo-Wilfried Tsonga - a 7-6 (8-6) 5-7 6-4 victor over South Africa Kevin Anderson - in the last four.
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