A German court rejected an ultra-conservative British bishop's appeal against his conviction and fine for denying the Holocaust in a television interview.
The state court in Nuremberg said it found no legal errors in a decision by judges in nearby Regensburg in January last year to convict Richard Williamson of incitement and fine him 1,800 euros.
It was Williamson's second appeal against the ruling and follows a lengthy legal saga - an earlier conviction was overturned on procedural grounds.
The Catholic cleric told a Swedish TV station during a 2008 interview conducted near Regensburg that he did not believe Jews were killed in gas chambers during the Second World War. Holocaust denial is a crime in Germany.
A traditionalist breakaway Catholic group, the Society of St Pius X, expelled Williamson in 2012.