Pre-tournament favourite Rafael Nadal eased past America's Ryan Harrison 6-4, 6-2, 6-2 to record his 16th win on hard courts this year.
Defending champion Serena Williams crushed Italian veteran Francesca Schiavone, 6-0, 6-1. Her sister Venus, champion in 2000 and 2001, fought past Belgian 12th seed Kirsten Flipkens 6-1, 6-2.
Li Na reached the second round with a 6-2, 6-2 win over Olga Govortsova of Belarus.
Agnieszka Radwanska eased past Silvia Soler-Espinosa 6-1, 6-2.
Laura Robson won nine games in succession to beat Spanish veteran Lourdes Dominguez Lino, 7-5, 6-0.
Daniel Evans, making his debut after coming through qualifying, swept past Japanese 11th seed Kei Nishikori, 6-4, 6-4, 6-2.
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