Spain's Nadal, the top seeded player coming into the tournament, defeated the Austrian 6-4, 6-3, 6-2 to claim his 17th Grand Slam title.
On Saturday, Simona Halep from Romania defeated the American Sloane Stephens 2-1 to claim the women's French Open title.
It was the first time since 1992 that both men's and women's top seeded players claimed the title. Jim Courier and Monica Seles did it 26 years ago.
