With all three of their previous meetings requiring a third-set tiebreak to decide the winner, a packed Arthur Ashe Stadium had expected high drama but instead witnessed a rout as Federer recorded his third win against the unpredictable Australian.
The match was not only an intriguing contrast in styles but also in temperament, with Federer, tennis's ultimate good guy, taking on Kyrgios, the sport's undisputed bad boy. Cool, controlled and clinical, Federer fans can count on the very best from the Swiss each and every time he steps onto the court.
Kyrgios, on the other hand, is a ticking time bomb ready to go off at any moment, all power and furry one minute, disinterested clown the next.
The Australian had already found himself at the centre of a Flushing Meadows controversy this week when umpire Mohamed Lahyani felt it necessary to get down from his chair during Kyrgios's second round match against Frenchman Pierre-Hugues Herbert to urge him to show some interest.
On Saturday, umpire James Keothavong stayed in his chair and watched on with the rest of the 23,000-capacity crowd as the big-hitting Australian mumbled away to himself while facing an array of exquisite Federer winners that kept flying past his racket.
The match got off to a promising start with neither player able to gain an advantage.
But the tide quickly turned in Federer's favour when Kyrgios could not convert any of four break chances at 3-3 in first.
After Kyrgios held at 4-4 Federer seized control and never let go roaring through the next seven games, breaking the crumbling Australian to take the opening set then breaking him twice more in the second for a 5-0 lead.
While Federer is usually all business and Kyrgios is known as the showman, the roles were reversed midway through the third set when Federer produced a trick shot that left the Australian wide-eyed and open mouthed.
Chasing down a cheeky drop shot, the Swiss hit it inches off the ground and curled it around the net post for a ridiculous winner that earned him a standing ovation from the hollering crowd.
After that it was back to business for Federer, breaking Kyrgios for a 6-5 lead then serving out the win with an ace
