Giggs lifted the anonymity injunction he held last month, which he sought last year to prevent reports of his alleged affair with Welsh model Imogen Thomas.
Mr Justice Tugendhat had heard arguments from both sides and delivered his verdict this morning, saying that he had decided to "refuse to grant relief" to the father-of-two.
At a hearing on February 21, his lawyer Hugh Tomlinson QC had told the court that the footballer was seeking damages for the re-publication of The Sun's original information, which he said had "generated a large media storm".
"He has suffered damage and distress by the chain of events that has been set off by the publication of the article in The Sun. We say the printing of information on the front page of a national newspaper can give rise to an action for misuse of private information," he said.
The newspaper's legal team had argued that the claim was "dead in the water". Richard Spearman QC said the original article had not identified Giggs, adding that The Sun had behaved "properly".
Despite his injunction, Giggs was widely named on social networking websites, while Liberal Democrat MP John Hemming used parliamentary privilege to name him last May.
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