The second-seeded Frenchman saved three break points in the last game before sealing his victory.
Tsonga fired big forehands to outplay Djokovic at the baseline and at the net. He insisted that his loss to Djokovic in Melbourne was not a motivating factor.
"I didn't even think about the revenge,'' Tsonga said. "It's very special to win my first tournament. I wanted this since I was young. It's a dream come true.''
Djokovic, ranked No. 3 in the world, looked sluggish at times. He ended the match by lobbing Tsonga's serve long.
"I'd like to congratulate Tsonga for his first title,'' Djokovic said during the trophy ceremony. "I hope to see more great things from him in the future.''
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