Williams will face Canadian Bianca Andreescu for the US Open title as the American sets herself up for another attempt to clinch a record-equaling 24th Grand Slam singles title.
Never before has a final in London lasted so long - it went into the twelfth game of the fifth set and then into the tiebreak.
Simona Halep won the Wimbledon final after two sets (6:2, 6:2) against Serena Williams. It is her second Grand Slam victory and the first in Wimbledon.
The most captivating modern rivalry in men's tennis returns to the scene of its most dramatic episode when Roger Federer and Rafael Nadal meet for a place in the Wimbledon final.
Federer and Nadal each won their quarter-finals to set up an epic semi-final between the two, whilst world number 1 Djokovic will face Bautista Agut for a place in the final.
Seven-time champion Serena Williams wobbled several times before overcoming Alison Riske on her way to the semi-final.
Roger Federer, Novak Djokovic and Rafael Nadal eased into the Wimbledon quarter-finals as the sport's Grand Slam heavyweights continued to deliver blow after blow to their wilting lightweight rivals.
Cori Gauff, the youngest woman ever to survive the qualifying tournament, played like a seasoned performer as she clinically beat five-time champion Venus Williams to earn a standing ovation from an enchanted Court One crowd.
Five-times a runner up at Melbourne Park, Andy Murray had surgery on the hip a year ago and has been unable to recover his best form.
Caroline Wozniacki who was diagnosed with rheumatoid arthritis, an autoimmune disease which attacks the joints, before the US Open says she is proud of how she has been so positive through it all.
Novak Djokovic races to a fourth Wimbledon title and 13th career Grand Slam crown after defeating a battling but exhausted Kevin Anderson 6-2, 6-2, 7-6 (7/3).
South Africa's Kevin Anderson became the first South African to reach the Wimbledon final in 97 years after triumphing over John Isner in the tournament's second longest match.
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