Despite an early loss to Petra Kvitova in the last 16 of US Open, Muguruza topped the WTA rankings for the first time in her career dethroning Czech Republic's Karolina Pliskova.
Muguruza becomes the 24th woman overall to hold the number one ranking and the second player representing Spain to achieve this historic milestone.
Pliskova, the 2016 runner-up at Flushing Meadows, is joined by four past U.S. Open champions - Angelique Kerber, Venus Williams, Sam Stosur and Svetlana Kuznetsova.
The former champions - Federer and Djokovic advanced to the third round on Thursday, two days after their opening matches ended early when their opponents retired with an injury.
Angelique Kerber who won two majors in 2016 was the runner-up at Wimbledon 2016, she would like to go a step ahead this time at the prestigious All England Club.
This was Djokovic's first title since January after his triumph in the Qatar Open.
Simona Halep could become World No. 1 for the first time in her career after next week's Eastbourne Championships. Halep needs to reach the semi-finals in order to have a shot at the No.1 ranking.
Germany's Angelique Kerber on Saturday beat Czech player Karolina Pliskova 6-3, 4-6, 6-4 in the US Open women's final match here to win her second Grand Slam title of the year.
Dubai, United Arab Emirates : For the second consecutive week, Karolina Pliskova advanced to the semifinals of a tournament by beating Lucie Safarova.On Thursday at the Dubai Tennis Championships, Pliskova recovered from a set and
NEW YORK : Ana Ivanovic's comeback tour has ended with yet another early exit at the U.S. Open. Ivanovic, who had been having her best season since winning the French Open in 2008, looked out
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