An Adelaide man found to have vilified Jewish people on his website has been jailed after he failed to overturn a contempt of court finding.

Dr Fredrick Toben was originally sentenced to three months in jail for contempt, for repeated internet publication of material in breach of the Racial Discrimination Act.

Federal Court Justice Jeffrey Spender today said the case was not about the Holocaust, but whether Toben had complied with court orders.

All three judges dismissed an appeal against the contempt finding and upheld the three month sentence.

Toben was immediately taken into custody by federal police.