Tasmania's Anti-Discrimination Tribunal has found a man who distributed pamphlets suggesting gay people died younger than heterosexuals contravened the Anti-Discrimination Act and must apologise.

Pamphlets outlining "homosexuality statistics" were distributed around the Hobart suburb of Sandy Bay in 2013 under the name Threewisemonkeys.

The pamphlets, published by James Durston, said homosexuality should not be tolerated, and listed statistics suggesting gay people were more likely to die of disease, and in traffic accidents, than heterosexual people.

Some pamphlets said scripture rejected homosexuality as abominable, and that gay people died on average aged in their 40s.

Other claims in the pamphlets included lesbians being 435 times more likely to be the victims of murders, 932 times more likely to die from suicide and 466 times more likely to die in traffic accidents.

Statistics demonstrate bigotry and hatred: Robert Williams

Robert Williams, an openly gay man, took Threewisemonkeys and second respondent Mr Durston to the Anti- Discrimination Tribunal, claiming the pamphlets breached the Anti-Discrimination Act by inciting hatred against homosexuals.

Mr Williams submitted the material demonstrated bigotry, prejudice and hatred and caused him and others to feel sickened and insulted.

He also rejected any arguments based on a unrestricted constitutional right to free speech.

Mr Williams submitted while it may not appear to be necessary to argue that the statistics were false, he did submit that the psychologist's work on which they were based had been condemned by the American Psychological Society.

The tribunal found in Mr Williams' favour, and ordered Mr Durston to publish a public apology in the Mercury newspaper within 14 days.

The advertisement has to be no smaller than 85 millimetres wide, and 94 millimetres long.

If he fails to do so, Mr Dunston will be liable for a fine.