The third-seeded Tsonga took his second career championship at Marseille with a 3-6, 7-6 (8-6), 6-4 victory over the top-seeded Berdych.
The Frenchman, who also won the Open 13 in 2009, notched his 10th career ATP Tour crown.
The Czech Republic's Berdych, meanwhile, fell to 8-9 in career finals.
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Michael Sam cut from the Dallas Cowboys