Three judges at the Court of Appeal in London upheld the initial verdict and also threw out a bid by Evans to have his five-year prison sentence reduced.
Lord Chief Justice Lord Judge, sitting with Mr Justice Mitting and Mr Justice Griffith Williams, said: "We can see no possible basis which would justify us interfering with the verdict of the jury, which heard all the evidence and reflected on it after careful summing up by the judge."
Evans was convicted by jury at Caernarfon Crown Court in April for raping a 19-year-old woman in a hotel room in North Wales in May 2011.
The 23-year-old, who denied the charge, admitted to having sex with the woman but she told the jury she had no memory of the incident.
The prosecution said the woman, who cannot be named for legal reasons, was too drunk to consent to sexual intercourse.
Port Vale defender Clayton McDonald, 23, who also admitted having sex with the victim, was found not guilty of the same charge.