Vandeweghe won only one of the last 12 games in the match as the 29-year-old pinned her with a barrage of winners.
Goerges was simply unstoppable in the second set and she completed the victory with a crosscourt return winner on her second championship point.
Julia Goerges of Germany kisses her trophy after defeating Daria Kasatkina of Russia
Image credit: Reuters
The 29-year-old screamed in delight after completing a stellar year in which she won two titles and reached five finals.
The tournament's 12-player singles field featured the leading players on the women's tour who did not qualify for last week's WTA Finals in Singapore while one wildcard was awarded to China's top-ranked player Peng Shuai.