Berdych improved to 2-2 in finals this year with his 4-6, 6-4, 6-4 triumph over Tsonga.
The Czech -- who also defeated Gael Monfils in February's Montpellier event -- reached 8-8 all-time in title matches with Sunday's victory.
Tsonga, meanwhile, was trying for his third title of 2012 after posting earlier triumphs in Doha and Metz.
The Frenchman fell to 3-1 in career against Berdych.
Notable deaths of 2014 [PHOTOS]
Julius Randle breaks leg during NBA debut