Robredo faced 13 break points in the match and lost his serve twice in each set to the Frenchman, and he fared little better when returning serve, winning only eight percent of points on his first return.
Benneteau next meets second-seeded Richard Gasquet or Steve Darcis in the quarterfinals. They play Thursday.
In remaining first round matches, there were wins for No. 7 Robin Soderling of Sweden and No. 8 Paul-Henri Mathieu of France.
Soderling beat Thierry Ascione of France 6-4, 6-1, while Mathieu defeated Guillermo Canas of Argentina 6-3, 6-4, and Christophe Rochus of Belgium also progressed with a 6-2, 6-4 win over Gilles Muller.
Benneteau, Ouanna in Lyon GP quarterfinals
Robredo and Ferrero advance at Lyon Grand Prix
Ballon d’Or Nominees Announced