The 18-time Grand Slam champion will face 2010 finalist Tomas Berdych in the semifinals Friday on Centre Court.
Federer is 18-6 against Berdych, but the 11th-seeded Czech beat Federer in the quarterfinals during his run to the final seven years ago.
In the first semifinal match, seventh-seeded Marin Cilic of Croatia will face Sam Querrey. The 24th-seeded American eliminated defending champion Andy Murray in the quarterfinals.
A tournament win for Federer at Wimbledon would be his 7th Wimbledon championship and his 29th Grand Slam tournament championship. Like Tiger Woods for golf, Federer brought the concept of full athletic training to tennis. Federer is an actual athlete who happens to play tennis.