The man who raped and murdered Co Louth woman Jill Meagher in Australia in September 2012 has failed in his attempt to have his prison sentence reduced.

Adrian Ernest Bayley was sentenced to life in prison in June.

He was ordered to serve a minimum of 35 years for her murder and 15 years for her rape.

His lawyers argued that a non-parole period, or minimum term, of between 28 and 32 years was more appropriate.

The hearing took less than two hours.

The three judges hearing the case at the Court of Criminal Appeal, including the Chief Justice of Victoria, retired for about ten minutes to deliberate, before returning to refuse Bayley's application for leave to appeal.

If Bayley wishes to continue appealing his sentence, he must now take a case to the High Court of Australia.

Bayley's criminal history spans more than 20 years and includes 16 counts of rape.

The 41-year-old was out on parole at the time he attacked and killed Ms Meagher in a Melbourne laneway.