Tsonga fired six aces and never had his serve broken in topping countryman Clement Reix 6-3, 6-3 on the indoor hard courts at Metz, France.
The French crowd favorite won the title last year with a defeat of former titlist Ivan Ljubicic in the finale.
Also reaching the third round was fourth-seeded German Florian Mayer, who rallied for a 6-7 (4-7), 6-3, 6-4 decision over American James Blake.
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