The top-seeded Federer and No. 3 Murray were placed in the same section of the field during Thursday's draw at Flushing Meadows. Federer beat Murray at the All England Club; Murray beat Federer for the gold medal.
Defending champion Novak Djokovic could face No. 4 David Ferrer in the semifinals.
Rafael Nadal withdrew with knee trouble.
Potential quarterfinals: Federer vs. No. 6 Tomas Berdych, who upset him in the 2010 Wimbledon quarterfinals; Djokovic vs. 2009 U.S. Open champion Juan Martin del Potro; Murray vs. No. 5 Jo-Wilfried Tsonga; Ferrer vs. No. 8 Janko Tipsarevic.
The women's draw is later Thursday.
Play begins Monday.
(For more sports news and updates, follow Ahram Online Sports on Twitter at @AO Sports and on Facebook at AhramOnlineSports)