Federer, who also recovered from a set down to stun world number two Novak Djokovic in Friday's semi-finals, again struggled early on but dug deep to claim a sixth Dubai crown.
Berdych, 28, went into the final on an 11-match winning streak.

Roger Federer rolled back the years to beat Novak Djokovic 3-6 6-3 6-2 in the semifinals of the Dubai Championship on Friday, his first victory in four meetings with the world number two.

Federer, 32, rarely troubled the Serb in the first set and the pivotal moment came at 2-2 in the second when the Swiss saved a break point with a delicious backhand pass.
The 17-times grand slam champion went on to hold serve and then broke in a rain-interrupted game - the players leaving the court for only a few minutes - with a backhand bullet from the baseline.
Federer clinched the set with an ace before Djokovic, 26, double-faulted in the first game of the decider to gift his opponent a crucial early break.
The five-times champion next meets Czech Tomas Berdych who subdued German Philipp Kohlschreiber 7-5 7-5 to record his 11th straight win and reach a second successive Dubai final.


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