Djokovic rallied to break the second seed twice for an easy 6-1 win in the second set.
Federer repeated what he did in the first set to force a triple break point in the 12th game of third set, grabbing another 7-5 thanks to Djokovic's long stroke.
The Serbian answered with another double break in the fourth set, prolonging the match into decider with a 6-2 set victory.
The fifth set was carried out in a more intense and fluctuating way. The Serb forced four deuces in the seventh game as he took the advantage of a series of errors from Federer, but a backhand down net ball from Djokovic enabled the Swiss to go through.
It's a similiar case in the tenth game. Federer earned two match points and forced three deuces at Djokovic's serves but also proved fruitless as a backhand drive dropped the net from the second seed.
"You can't turn back time. Obviously I had to come up with a couple of good shots on match point, but I don't feel I have that many regrets in that regard. You feel like you left something out if you lose the match having had match point," said Federer.
"It was not the final, so I'm not as disappointed it would have been in the final. That's the only positive news to enjoy anything out of it."
Djokovic struck back in the 11th game as the 2008 Australian Open champion converted his sole break point capitalizing a long shot by Federer for a 6-5 lead and served out the match.
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