The 12th-seeded Tsonga is looking for his first title of the year. He plays Ivan Ljubicic of Croatia in the second round.
"I started this match very badly. There was a lot of tension. He was quite confident, very tough to play," said Gasquet. "I tried to stay calm, but it was very difficult because we played so many rallies. I stayed for three hours on the court."
Also, Florian Mayer of Germany beat 10th-seeded Mikhail Youzhny of Russia 6-3, 2-6, 6-3 in an error-filledmatch which saw numerous double faults and 13 breaks of serve, with Mayer breaking Youzhny seven times.