Paes, along with Martina Hingis, eased past the local pair of Taylor Harry Fritz and C Lui 6-2, 6-2 in the first round encounter on Court 4.
The fourth-seeded Indo-Swiss duo took just about 46 minutes to win the match.
Paes and Hingis will next take on the winners of the match between the Canadian-Australian combine of Eugenie Bouchard and Nick Kyrgios and the Ukrainian-Kiwi team of Elina Svitolina and Artem Sitak.
On Court 14, Bopanna combined with Florin Mergea to dispatch the US duo of Austin Krajicek and Nicholas Monroe 6-3, 6-4 in the first-round encounter.
The sixth-seeded Indo-Romanian duo won the match in 1 hour and 7 minutes to ease into the second round. (Full match report)
Bopanna and Mergea will be up against the Polish-Mexican pair of Mariusz Fyrstenberg and Santiago Gonzalez in their next match.
Fyrstenberg and Gonzalez defeated the Polish combination of Tomasz Bednarek and Jerzy Janowicz 6-7 (5) 7-6 (3) 6-4 in their opening match.