It is the second conviction and prison sentence for Soral, a far rightist, since the beginning of the year.
A Paris court convicted Soral, 60, on Monday and ordered him jailed. He was not in court and a warrant was issued for his arrest, The Associated Press reported.
Holocaust denial is a crime in France.
Soral’s lawyer, Damien Viguier, was fined more than $5,000 euros ($5,600) for complicity. On Soral’s website, Equality and Reconciliation, the lawyer announced that they would appeal, the French language Le Figaro newspaper reported.
In January, Soral was sentenced to one year in prison for insulting a judge and making anti-Semitic comments on his website. He was during his appeal of the conviction.