Winds blew across Arthur Ashe Stadium but that did not bother top seed Djokovic, who defeated Mikhail Youzhny of Russia 6-3 6-2 3-6 6-0 to claim a berth in Saturday's semifinals.
An eagerly anticipated renewal of his grand slam rivalry with Wimbledon winner Murray had already been spoiled after ninth seed Wawrinka of Switzerland spanked the out-of-sorts Scot 6-4 6-3 6-2 in their quarter-final.
The other semifinal will have French Open champion Rafa Nadal against eighth-seeded Frenchman Richard Gasquet.
"I'm always trying to play my best tennis in the grand slams. I'm really working on my game," said world number one Djokovic, who reached his 14th consecutive grand slam semi-final.
Youzhny, the 21st seed, said the Serb had never given an inch. "Every point you have to play. He never miss. He never give you some presents," the Russian said.
Wawrinka stepped out from the shadow cast by compatriot Roger Federer and into his first grand slam semifinal with a   decisive victory over the Wimbledon champion, winning the battle from the baseline and the net.
The surging Wawrinka, who raised his 2013 record to 41-15 with the upset win, raised both arms in triumph after third seed Murray dumped a second-serve return into the net on match point.
"It feels amazing for sure, especially here. He's defending champion, he's a tough opponent. It was a crazy match for me. To beat him in three sets is just amazing," the excited Swiss said.
Wawrinka broke the Briton four times and never faced a break point against a player noted for his ability to return. He cracked 45 winners past the listless Murray and won 31 of 42 forays to the net in the one-sided match.
Murray admitted to a Wimbledon hangover after ending a drought of 77 years without a British winner since Fred Perry's 1936 triumph at the All England Club.
"When you work hard for something for a lot of years, it's going to take a bit of time to really fire yourself up and get yourself training 110 percent," he said.
"That's something that I think is kind of natural after what happened at Wimbledon," added Murray, who beat Djokovic in the Wimbledon final and to win the 2012 U.S. Open title while losing the Australia Open final to the Serb in between.
"But I got here. I got to the quarter-finals of a slam, which isn't easy," he said.
Much more was expected of Murray, as it was for the other Swiss player that factored at Flushing Meadows - Roger Federer.


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