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In January 1998, she played in the category XVII event, the Hoogovens in Wijk aan Zee, Netherlands, in which 14 of the world's top grandmasters participated.
She finished in the middle of the pack, tied for sixth – tenth position with Karpov, Topalov and Jeroen Piket and an even score of 6½ points in thirteen games.
Polgár handed co-winner Vishwanathan Anand his only loss of the tournament.
In June 1998 in Budapest, Polgár played an eight game match of " action " chess, which is 30 minutes for the entire game, against Anatoly Karpov.
She won the match 5 – 3 by winning two games with the remaining ending in draws.
At the time Karpov was the FIDE World Champion.
In August 1998, Polgár became the first woman to ever win the U. S. Open held at the Kona Surf Resort in Kailua-Kona, Hawaii.
She shared the tournament victory with GM Boris Gulko as each scored 8 – 1.
Typical of her aggressive style was her victory against GM Georgi Kacheishvili in which she sacrificed her queen for the attack.
In October 1998, Polgár won the VAM four-grandmaster tournament in Hoogeveen, Netherlands by 1½ points over Jan Timman.
In November 1998, Polgár played in the Wydra Memorial Rapid chess tournament in Israel.
She tied for first with Viswanathan Anand as both scored 11½ out of the 14 games.
Anand won the tournament in a tie-break game over Polgár.

2.172 seconds.