The meeting lasted 1 hour 56 minutes and ended with a score of 6: 3, 3: 6, 6: 3.
For 37-year-old Stosur, this is her second win at the American Major in doubles.
It was the first time that Shuai had such a success.
The prize fund of the tournament was $ 57.5 million.
Earlier it was reported that the finalist of the US Open-1997 believes that Novak Djokovic will defeat Daniil Medvedev in five sets in the final of this year's US Open in men's singles.