Wawrinka, who will be one of the favourites to upset the established order when the first major of the year gets under way on January 13 in Melbourne, came through 7-5 6-2 on Sunday.
The two could not be separated in the early stages although top seed Wawrinka made the all-important break in the 11th game of the first set.
That was the start of a five-game winning run for the Swiss, who went on to seal victory over the seventh seeded Frenchman after 95 minutes for his fifth career title - and his second at this venue.
Wawrinka, who also won this competition in 2011, said afterwards on the ATP Tour website: "I need to keep practising and keep going for the rest of the year because it's only one week.
"I need to keep pushing myself to try to improve."