Top-seeded Del Potro, who racked up his second title of the season, bested the second-seeded Frenchman 6-4, 6-2.
Del Potro didn't face a break point and registered six aces in the 87-minute match.
Gasquet, seeking his first win since 2010, fell to 1-4 lifetime against the Argentine.
Exploding whale video goes viral on Internet
Selena Gomez drops F-bomb, walks off stage during Jingle Ball performance