It was the eighth seed's first trophy since she won in Moscow in October while Kuznetsova suffered her second defeat in the final here, having also lost to Justine Henin in 2004.
They beat wild cards Svetlana Kuznetsova and Amelie Mauresmo 6-4, 6-4 in the first round at the Dubai Open.
Svetlana Kuznetsova and Anna Chakvetadze recorded contrasting victories against Italian opponents in Moscow.
Top seed Agnieszka Radwanska had little trouble booking her spot in the semi-finals of the Pattaya Open after seeing off Thailand's Tamarine Tanasugarn 6-2, 6-3 on Friday.
World No 2 Svetlana Kuznetsova was dumped out of the Australian Open by Poland's Agnieszka Radwanska, while sixth seed Anna Chakvetadze lost to compatriot Maria Kirilenko in the third round.
Indian tennis ace Sania Mirza and her Swiss partner Martina Hingis continued to display their rampaging form as they extended their winning streak to 32 after progressing through to the third round of the Australian Open in the women's doubles event on Saturday.
Justine Henin extended her unbeaten run to 28 matches with a 4-6, 6-2, 6-4 win over Russia's Svetlana Kuznetsova in the final of the Sydney International on Friday.
World number one Justine Henin set up a dream final against second-ranked Svetlana Kuznetsova after beating Ana Ivanovic at the Sydney International on Thursday.
Czech Lucie Safarova stunned world number five Svetlana Kuznetsova of Russia 6-3, 6-4 to set up a semi-final clash with Belgium's Justine Henin at the Paris Open on Friday.
The German sixth seed, who has not won a title since winning at Flushing Meadows last year, never got into the match against the 2016 WTA newcomer of the year.
The world number two was not invited by team captain Shamil Tarpishchev after she pulled out of last week's semi-final against the United States citing a shoulder injury.
The Russian Fed Cup team were hailed by the local media following their semi-final victory in the U.S. at the weekend, while the hosts were criticised for their choice of venue and the treatment of the visiting captain.
Fifth seed Svetlana Kuznetsova had an easy time against the 16-year-old Austrian in her fourth round match at Wimbledon.
Russia's Svetlana Kuznetsova avenged a shock defeat by China's Li Na at the Beijing Olympics in the first round of the Pan Pacific Open on Wednesday. The former US Open champion, toppled by Li at the first hurdle in Beijing last month, won 6-2, 1-6, 6-3 to reach the last 16 in Tokyo.
Also making it to the last eight were Svetlana Kuznetsova and Czech teenager Nicole Vaidisova.
Sinimol Paulose and Chatholi Hamza won the women's and men's 1500 metres respectively at the Asian Indoor Games in Macau on Tuesday.
List of US Open women's singles champions, since 1912.
Wimbledon champion Amelie Mauresmo suffered a surprise loss to unseeded Ukrainian Julia Vakulenko at the German Open on Friday, as world number one Justine Henin moved smoothly into the quarter-finals.
Nadia Petrova lost 6-3, 6-3 to Italy's Mara Santangelo in the second round of the Warsaw Cup.
Serena Williams overpowered top seed Svetlana Kuznetsova 7-6, 6-1 to reach her first Kremlin Cup final.
Top seed Svetlana Kuznetsova reached her first Kremlin Cup semi-final in convincing fashion by crushing fellow Russian Vera Dushevina 6-2 6-2 on Friday.
The Belgian was joined by Svetlana Kuznetsova, Jelena Jankovic and Tatiana Golovin in the semi-finals of the Stuttgart Open.
World number one Justine Henin made a problem-free return to the court on Thursday, beating Dinara Safina 6-4, 6-1 in her first match since winning the US Open.
She upset third-seeded Kuznetsova 6-4, 6-2 on Saturday.
The Russian faces unseeded Slovak Daniela Hantuchova in the semi-finals of the Zurich Open.
Amelie Mauresmo made an unspectacular return to tennis after a two-month layoff with a 6-2, 6-2 victory over Romania's Ioana Raluca Olaru at the China Open.
Svetlana Kuznetsova questioned Siberian-born player's motives for coming to Moscow for the Fed Cup final despite being injured.
Svetlana Kuznetsova beat Francesca Schiavone 4-6, 7-6, 7-5 to give Russia their third Fed Cup title.
Compatriot Elena Dementieva added her name to the tournament's lengthy casualty list when she withdrew with a left thigh muscle injury.
Russia are strongly favoured to capture a third Fed Cup title in four years when they take on holders Italy in the Moscow final this weekend.
List of French Open women's singles champions:
The Belgian raced to victory in one hour, 22 minutes to become the first woman to win the title without losing a set since Serena Williams in 2002.
Top seed Justine Henin of Belgium battled past two-times champion Venus Williams while fourth Russian Svetlana Kuznetsova beat compatriot Anna Chakvetadze in the semi-finals.
Svetlana Kuznetsova beat Hungarian teenager Agnes Szavay 6-1 6-4 to reach the U.S. Open semi-finals on Wednesday and believes she is a better player than when she won the title in 2004.
She was the only remaining Indian woman in the World chess championships in Russia
Former champions Martina Hingis and Svetlana Kuznetsova took different paths to the third round of the U.S. Open on Thursday.
Top seed Svetlana Kuznetsova won the New Haven Open when Hungarian qualifier Agnes Szavay retired with a back injury in the final.
A summary of sports events and sports persons, who made news on Friday.
The Belgian beat Russia's Svetlana Kuznetsova 6-4, 6-2 to win the Qatar Open and complete a Gulf double.
The world number one beat China's Peng Shuai 7-5, 6-2 in the third round.
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