Assange's lawyer had this week appealed against an arrest warrant, which has also led to an Interpol notice. Assange has denied the allegations. The court decision means the domestic and international arrest warrants still stand.
"The High Court has not granted a leave to appeal, so the the Svea Court of Appeals ruling still stands," High Court official Kerstin Norman told Reuters.
It is not known where Assange is, but Britain's The Independent newspaper reported on Thursday that it was believed that he was in southeast England.
