Djokovic began the semi-final brightly, breaking Berdych's serve before going on to open up a 4-2 advantage.
However, Czech Republic number one Berdych responded by winning the next four games to wrap up the opening set 6-4.
Djokovic again claimed an early break in the second. On this occasion Berdych was unable to respond as the Serb forced the match into a deciding set courtesy of a 6-3 success.
Djokovic claimed the advantage early in the decider by breaking Berdych's serve once again. Another break soon followed as Djokovic went on to open up a 5-1 lead over Berdych.
Despite managing to hold his serve to cut the lead to 5-2, Berdych was unable to prevent his 24-year-old from serving out the match 4-6 6-3 6-2.