Irving said he now acknowledges that the Nazis systematically slaughtered Jews during World War II.
He has been in custody since his arrest in November on charges stemming from two speeches he gave in Austria in 1989, in which critics claimed he denied the Nazi extermination of some 6 million Jews.
A verdict is expected later today. He faces up to 10 years in prison.
Irving had tried to win his provisional release on $24,000 in bail. But a Vienna court refused, saying there was a risk he would try to leave the country.
World War II: 60 Years On
A microsite devoted to RFE/RL's coverage of the 60th anniversary of the end of World War II in May 2005.