Tsonga advanced Saturday with a victory over Marcos Baghdatis of Cyprus, who withdrew with an injury in the closing stages of a match that ended with Tsonga ahead 6-4, 4-6, 5-2.
Berdych had an easier time against third-seeded Spaniard Nicolas Almagro. The Czech scored nine aces and won 6-3, 6-2 in 70 minutes.
Tsonga continued his hot streak with his 12th win in his last 14 matches. Tsonga lost to Berdych last week in the quarterfinals of the Shanghai Masters.