Sorenstam tied Carol Mann in eighth place on the LPGA Tour's all-time wins list with her 38th victory since joining the tour in 1994. The win came with a $150,000 pay day, moving Sorenstam past the $2 million mark for the second consecutive season.
'Obviously I feel great. This is just shaping up to be my best season probably and I'm thrilled with the way I played today,' said Sorenstam. 'I made a few mistakes, but then I bounced back really quickly and made birdie, so I'm delighted.'
More from Annika on her win.
Kane shot a 68 on Sunday for her highest finish of 2002 since the season-opening LPGA Takefuji Classic, where she also played runner-up to Sorenstam. Joanne Mills and Cristie Kerr shared third place six-under-par 204.
Sorenstam stumbled out of the gate Sunday with a three-putt bogey at the first but the Swede quickly rebounded with a seven-footer for birdie at the third hole. She added back-to-back birdies at seven and eight to make the turn at 2-under-par 33.
Sorenstam dropped a shot at the par-4 12th but once again she was quick to recover. She ran home a five-foot birdie at the 13th and added another birdie two holes later.
Kane, who played in the final group with Sorenstam, birdied the 15th and 16th holes to get within two shots of Sorenstam's lead. Both players knocked their tee shots to six feet at the par-3 17th but Sorenstam was the only one to make the putt, taking a three-shot lead to the 18th.
'She hit a great tee shot, but I hit a great shot myself,' said Sorenstam, who returned to the tour for the first time since missing the cut at Women's British Open last month. 'I knew if I make this I've got a three-shot lead going into 18. I felt really comfortable after making it.'
Sorenstam knocked a 9-iron to seven feet for birdie at the last to polish off her round of 65.
'It was nice to come back from two weeks off and bounce back the way I did after the British Open, to win in Sweden and then win here right away,' said Sorenstam.
Kane played solidly Sunday with 14 pars in a row before the back-to-back birdies. She shot a 2-under-par 68 and finished the tournament at 7-under-par 203.
'I've had an up-and-down run the last little while, and this has been encouraging for me, finally getting the scoring side of my game back,' said Kane. 'Any time you can play a final round on Sunday contending with the No. 1 player in the world, you're doing things right. So, I've had a good week in Tulsa.'
Meg Mallon had the round of the day with a 6-under 64 to move into a tie for fifth with tour rookie Beth Bauer. The pair were knotted at 4-under-par 206 and the fifth-place finish all but wraps up Rookie of the Year honors for Bauer.
Final results from the Williams Championship