"We played very well and I'm very happy with my performance in the field. I enjoy everything that's tennis. It feels good to be here in New York, and I enjoy public support," said Federer after the victory obtained 6-4, 6-3, 6-3.
Tsonga stopped Federer in the Wimbledon quarterfinals when fate turned the match after losing the first two sets.
Federer's next opponent will be Novak Djokovic world leader The two are going to reissue the 2010 semifinals. Federer then missed two match balls and eventually lost in five sets.
The latest meeting took place in two semifinals at Roland Garros, where Federer advanced to final tournament round going into Paris.
Djokovic needed four sets to beat national fellow Janko Tipsarevic, 7-6 (2), 6-7 (3), 6-0, 3-0 score t which the world number 20 dropped out due to injury.
After two days when rain made head and played with organizers nerves, the day debuted Thursday at the U.S. Open under a generous sun, which heated the atmosphere at the game between Rafael Nadal and Gilles Muller, the game for knockout final.
Resumed at 0-3 in favor of Luxembourgian, to balance of the game was kept until the end of the first act, which Nadal won in a tie-break. The next two sets and came more easily and the Spaniard, won 6-1 and 6-2, and the world number two goes into quarters, where he will meet American Andy Roddick winner of the U.S. Open in 2003.
Roddick defeated in optimal David Ferrer 6-3, 6-4, 3-6, 6-3.
In another quarter-final, Andy Murray will meet American John Isner, after he eliminated another host player, Donald Young, 6-2, 6-3, 6-3.
Isner will play his first quarter-final in a Grand Slam tournament after eliminating Frenchman Gilles Simon in three hours and 34 minutes, 7-6 (2), 3-6, 7-6 (2), 7-6 (4).
Results for women's quarter finals:
(1) Caroline Wozniacki (DEN) - (10) Andrea Petkovic (GER) 6-1, 7-6(5)
(9) Samantha Stosur (AUS) - (2) Vera Zvonareva (RUS) 6-3, 6-3
(28) Serena Williams (USA) - (17) Anastasia Pavlyuchenkova (RUS) 7-5, 6-1
Angelique Kerber (GER) - (26) Flavia Pennetta (ITA) 6-4, 4-6, 6-3