With a duration of 6 hours and 36 minutes, it was the second longest match in Wimbledon history, only after Isner's clash with Nicolas Mahut which ended 6-4, 3-6, 6-7 (7), 7-6 (3), 70-68 in the former's favour after 11 hours, 5 minutes.
"I mean, it's just who's going to outlast each other", said Anderson, a 32-year-old from South Africa who is seeking his first major trophy.
"It was very special, it really could have gone either way", he added.
"I'm very happy that I can disagree with Boris", he said.
It was the first time in the Open era that both men's semifinals went past 6-all in the deciding set of a Grand Slam event.
Anderson's win was only the first semifinal of the day.
"It's hard to pick the words", said Djokovic, who has won his past eight five-setters at Wimbledon. I just expressed my opinion because they asked me for my opinion.
Big matches draw attention to these tournaments, and there's no doubting that if Djokovic continues down the path he's taken at Wimbledon then we can expect a series of incredible matches over the coming tournaments.
Anderson's prize for his bittersweet victory over his former U.S. college friend and rival is a date on Sunday with either world number one Rafael Nadal or fellow grand slam giant Novak Djokovic. After 48 games of serving and scrambling in an endless fifth set, Anderson broke the American in the 49th game to peddle past the finish in the 50th in what increasingly looked like tennis' version of the Tour de France. Centre Court's roof remained closed, as it was when their semifinal match started, in keeping with a rule that requires any suspended match to be resumed under the same conditions it began.
It remains to be seen if he can recover physically and emotionally for what could be a career-defining match, his second Grand Slam final in the last 11 months.
Victory for Djokovic would elevate the 31-year-old above Australian Roy Emerson into fourth place on men's tennis's all-time grand slam title leaderboard behind only Federer (20), Nadal (17) and Pete Sampras (14).
"Right now I feel bad", the 33-year-old Isner said, noting he developed a foot blister at some point in the match. Needing two days to get it done, the Serbian took out world No. 1 Rafael Nadal, 6-4, 3-6, 7-6 (9), 3-6, 10-8 in a classic Wimbledon semifinal.
"Kevin also had quite a few hours on the court in the last couple matches". He'll try to get back on top of the tennis world.
However, the pressure of serving second was relentless and Djokovic wrapped up victory in the 18th game when Nadal speared a forehand wide. Fortunately, he was at the end of the court farthest from the Royal Box, where the pair of visiting Duchesses, Kate and the newly married Meghan, sat in the front row.
There were other such displays of emotion from Djokovic, who is prone to yelling at himself or at his coach. There was this: the tumble Anderson took late in the match, only to somehow hop up, hit the ball left handed and ultimately claim the point - all as the typically stoical Wimbledon crowd gasped and screamed above them.