The fourth seed, who now leads the pair’s head-to-head record 5-0, never looked like relinquishing his early advantage and wrapped up victory in 77 minutes.
The pair last met at Roland Garros this year, and Ferrer was again the victor as he broke serve in the fourth and sixth games of the opening set to seize control of the match.
After taking the opening set in 37 minutes, Ferrer pounced again in the fifth game of the second set to break serve, and followed it up with another at the next opportunity as Granollers wilted.
The world number 24 prevented Ferrer from serving out for the match from 5-2, but he was promptly broken next game to hand his opponent the victory.
Ferrer, the world number five, will next take on Stanislas Wawrinka of Switzerland in the third round, with a potential quarter-final meeting with home favourite Jo-Wilfried Tsonga on the cards.
Novak Djokovic and Andy Murray start their campaigns with second-round matches against American Sam Querrey and local favourite Paul-Henri Mathieu later.
Sam Querrey (U.S.) beat 2-Novak Djokovic (Serbia) 0-6 7-6(5) 6-4
4-David Ferrer (Spain) beat Marcel Granollers (Spain) 6-1 6-3
8-Janko Tipsarevic (Serbia) beat Igor Sijsling (Netherlands) 6-4 7-6(0)
9-Juan Monaco (Argentina) beat Grigor Dimitrov (Bulgaria) 7-6(4) 6-2
Kevin Anderson (South Africa) beat 12-Richard Gasquet (France) 7-6(5) 4-6 6-1
Gilles Simon (France) beat Victor Hanescu (Romania) 7-5 6-3
- Sports & Recreation