Serena Williams powered to a record 307th Grand Slam match win on Saturday to reach the fourth round of the US Open.

Williams moved ahead of Martina Navratilova for most match wins in the majors by a woman, and tied Roger Federer's mark for men with a 6-2, 6-1 pasting of Sweden's Johanna Larsson.

The American superstar, seeking a record seventh US Open title, next faces Kazakhstan's Yaroslava Shvedova, a 6-2, 7-5 winner over China's Zhang Shuai.

"That's pretty awesome," Williams said of surpassing Navratilova. "And what better place to do than here where it all started."

Williams claimed the first of her 22 Grand Slam singles titles at the US Open in 1999. A 23rd major triumph would take her past the Open Era record she now shares with Steffi Graf and closer to Margaret Court's all-time record of 24.

Although a right shoulder injury had left Williams looking vulnerable since her triumph at Wimbledon, she needed just an hour to subdue Larsson, the world number 47 who has never made it past the third round of a Grand slam and had lost in the first round of her six prior US Open appearances.

"It was a really good match for me, because she played a different kind of game," Williams said. "It was really good for me to have a different type of rhythm and just move the ball around. So overall it was pretty good."

Results from the sixth day of the 2016 US Open tennis championships at Flushing Meadows on Saturday: 

Serena Williams (USA x1) bt Johanna Larsson (SWE) 6-2, 6-1
Yaroslava Shvedova (KAZ) bt Zhang Shuai (CHN) 6-2, 7-5
Carla Suarez Navarro (ESP x11) bt Elena Vesnina (RUS x19) 6-4, 6-3
Simona Halep (ROM x5) bt Timea Babos (HUN x31) 6-1, 2-6, 6-4
Agnieszka Radwanska (POL x4) bt Caroline Garcia (FRA x25) 6-2, 6-3
Ana Konjuh (CRO) bt Varvara Lepchenko (USA) 6-3, 3-6, 6-2
Karolina Pliskova (CZE x10) bt Anastasia Pavlyuchenkova (RUS x17) 6-2, 6-4
Venus Williams (USA x6) bt Laura Siegemund (GER x26) 6-1, 6-2