Nadal also leads his overall head-to-head against Federer 24-15, and 14-2 on clay after ending a run of five straights losses to the 37-year-old.
Djokovic dominated the second set as breaks in the second and eighth games were enough to tighten his grip.
Djokovic, Federer and Nadal own a combined 52 Grand Slam singles titles.
"It's just fantastic how he plays from deep and then is able to bounce back and forth from the baseline", Federer said.
Unseeded Czech Marketa Vondrousova became the first teenager to reach a Grand Slam final for 10 years as she outsmarted Johanna Konta 7-5 7-6 (2) at the French Open on Friday. Here is everything you need to know about her as she looks to make history in Paris.
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A larger protest is planned for Dublin on Thursday. "I want that, I like that". "He's a bully", said protestor Chris Murray. The ban went into force in April following a protracted legal battle that went all the way to the US Supreme Court.
A topsy-turvy start saw the Spaniard race through the first three games before Federer broke back as the wind played havoc with the players' serves from one end.
"I don't think I played poorly in the wind today".
The men's tournament has gone to form, with first seed Novak Djokovic and fourth seed Dominic Thiem meeting in the second semi-final on the same court.
Novak Djokovic, Roger Federer and Rafael Nadal are all into the French Open semifinals.
"I expected more from this tournament but once the first set slipped away, it was hard".
Barty took full advantage of Anisimova's early jitters on a chilly, windswept Court Suzanne Lenglen, allowing her opponent only one of the first 18 points.
It is the first time two teenagers have reached the semifinals at a Grand Slam for 10 years, while it had not happened at Roland Garros since Henin and Kim Clijsters in 2001.
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That created confusion, with many users assuming everything iTunes-related is going by the wayside, which isn't the case. TV and movie purchases will migrate to the Apple TV app.
The world number 3 has won the three most recent encounters between the pair in straight sets - all on hard courts. Maybe we have to wait until next season or the 2020 Tokyo Olympics.
To Amanda Anisimova, it seems "like, forever ago" that she was playing in the French Open main draw for the first time.
Having found her range and her speed, Anisimova rallied back and snatched the extra break to serve for the set at 6-5, only for Barty to force a tiebreak when the American buried a backhand into the net.
In the other semifinal, Amanda Anisimova, the only American left in the tournament, faces Australia's Ashleigh Barty, the number eight seed.
"For me to even get to Rafa was not simple", Federer, at almost 38 the oldest men's Grand Slam semi-finalist for 28 years, said after defeating countryman Stan Wawrinka on Tuesday.
"There's no doubt that scheduling has been challenged by weather conditions and the WTA understands the scheduling issues presented at Roland Garros, " said Simon.
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Thompson hurt himself Sunday early in the fourth quarter after getting bumped as he was landing on a jump shot and fell awkwardly. The MRI indicated that Looney has suffered a non-displaced first costal cartilage fracture (right side). "It swings so much".