The meeting lasted 1 hour 31 minutes, and ended with a score of 6: 3, 6: 4 in favor of the six-time winner of US Open.
In the quarterfinals, the rival Williams will be the 27-year-old Chinese woman Wang Qiang.
Earlier it was reported that Grigor Dimitrov defeated Alex de Minor and reached the US Open quarterfinal, where he will play with Roger Federer.