The former Danish midfielder has joined the Dutch giants for a undisclosed fee, believed to be around £2 million.
Chelsea still held Laudrup's registration following his spell with FC Copenhagen.
He maintained that he did not want to play for the Blues again, so the club have cashed in on him by selling him to Ajax.
Laudrup, 30 was delighted to have another chance of relaunching his Career , and he revealed that he turned down many offers from other clubs to join the Amsterdam giants.
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