Federer had been tied with Jimmy Connors for the most major semifinals. He reached the final four at Wimbledon for the first time since 2009, when he won the title.
Federer showed no sign of the back ailment that prompted him to seek treatment during the first set of his previous match. In the second game he converted his fifth break-point chance, and he pulled away from there.
A brief rain delay couldn't slow Federer, and neither could the No. 26-seeded Youzhny, who seemed pleased at times just to win a point.