The 13th seeded Indo-US pair defeated Russia's Alla Kudryavtseva and American Sloane Stephens 6-4 6-2 in one hour and 24 minutes at the All England Club here.
The duo will take on the winner of the match between Serbia's Jelena Jankovic and France's Virginie Razzano and French duo of Stephanie Foretz Gacon and Kristina Mladenovic, in the second round.
Sania and Bethanie converted five of the 13 break points, while their rivals broke two of the 10 opportunities that came their way.
The Indo-US combo took 44 minutes to wrap up the first set after converting two of the three break point chances. In comparison, Alla and Sloane could convert only one of the six chances that they got.
In the second set, Sania and Bethanie double faulted twice and also had more unforced errors, but they rode on their winners and better service.
