Mrs Justice Steyn threw out the case against Orbis Business Intelligence, a consultancy founded by former MI6 officer Christopher Steele, last month.
She found that Mr Trump’s compensation claim was “bound to fail”.
In a new ruling she also ordered Mr Trump to pay Orbis’s costs “of the entire claim”.
The order, obtained by the PA news agency on Thursday, also said Mr Trump has made no attempt to bring an appeal.
Mr Steele, who previously ran the Secret Intelligence Service’s Russia desk, was the author of the so-called Steele dossier.
This included uncorroborated intelligence claims, denied by Mr Trump, that the former US president had been “compromised” by the Russian security service, the FSB.
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