Anderson hopes to win his first grand slam title and is in his first grand slam final appearance of his career.
Anderson, seeded 28th, beat the Spanish 12th seed 4-6 7-5 6-3 6-4 in NY.
Kevin Anderson of South Africa created history after becoming the first player from his country since Cliff Drysdale in 1965 to make it to the US Open final.
Anderson will try to win his first major title against the victor of No. 1 Rafael Nadal and No. 24 seed Juan Martin del Potro, two former US Open winners.
He maintained his grip in the fourth set with breaks in the fourth and eighth games and as 12th seed Carreno Busta wilted, he broke again for 3-2 in the fourth in what proved the final blow. A bullet-like backhand victor sealed the second set for the South African, leveling the match at one set all.
The hard-hitting South African has pounded 20 aces, including one at 132 miles per hour to end the set, to just one for Carreno Busta. He took the set when the Spaniard double-faulted at 5-6, 30-all and Anderson then smacked a forehand victor into the corner on set point.
And Anderson admitted his cause was helped by two of the tennis" "Big Four' missing the slam, as he reached his maiden final at the age of 31 with a 4-6, 7-5, 6-3, 6-4 victory.
It was a string of six straight service holds which followed before Carreno Busta served to stay in the set at 5-6 down. I think our emotions were the same as Kevin's. Being in a semifinal, he said, left him "unbelievably nervous starting out" against an opponent in the same semifinal-debut circumstance.
He will bid to go one better than Curren, who was runner-up at the 1984 Australian Open final before switching citizenship to the United States ahead of his run to the Wimbledon final. "Of course I know that I have a good draw here", Carreno Busta said. Both Carreno Busta and Anderson are players who are used to flying under the radar, but can firmly grab the limelight by making the final. The Spaniard's first four matches were all against qualifiers - a record in the men's game in the Open era - and he then beat the 29 seed, Diego Schwartzman, in the quarters.
"It means a lot to me".
The Argentine closed out the first set with a lightning quick forehand. Del Potro was the U.S. Open champion in 2009, when he beat Nadal in the semifinals and Roger Federer in the final.
Starting the fourth set serving, it was a bright start for Carreno Busta as he looked to have regained his composure and found the momentum. The South African won his opening three rounds in straight sets against JC Aragone, Ernests Gulbis and Borna Coric respectively.