The decision by the High Court of Australia comes nearly a year after a unanimous jury found Pope Francis' former finance minister guilty of molesting two 13-year-old choirboys in Melbourne's St. Patrick's Cathedral in the late 1990s, shortly after Pell became archbishop of Australia's second-largest city.
The 78-year-old was sentenced to six years in prison in March and is no longer a member of Francis' Council of Cardinals or a Vatican official. The Victoria state Court of Appeal rejected his appeal in August.
Pell is in a Melbourne prison, where a newspaper reported last month that he had been given a gardening job. He did not attend the High Court in Canberra to hear the decision Wednesday.
SNAP, an abuse victims' support group, described the court's decision as a blow to clergy abuse victims and to the Australian criminal justice system.
"We are disappointed that Cardinal George Pell and his lawyers will have yet another opportunity to attack and re-victimize the former choirboy," SNAP spokesman Steven Spaner said in a statement.
Two of the seven justices — Michelle Gordon and James Edelman — heard Pell's application for an appeal and unanimously approved it for a hearing by the full bench. The court rejects around 90% of such applications.
An appeal hearing cannot happen before the justices return from their summer break in early February.
Pell's lawyers argued in their 12-page application for a High Court appeal that two state appeals court judges made error in dismissing his appeal in August.
The judges made a mistake by requiring Pell to prove the abuse was impossible, rather than putting the onus of proof on prosecutors, the lawyers said.
They also said the two judges erred in finding the jury's guilty verdicts were reasonable. Pell's lawyers argued there was reasonable doubt about whether opportunity existed for the crimes to have occurred.
Pell's lawyers also argued that changes in law over the years since the crimes were alleged have increased the difficulty in testing sexual assault allegations.
They say Pell should be acquitted of all charges for several reasons, including inconsistencies in the accuser's version of events.
Prosecutors argued there is no basis for the appeal and that the Victorian courts made no errors.
In their written submission to the High Court, prosecutors wrote that Pell's legal team was asking High Court judges to apply established principles to the facts of the case, which were already carefully and thoroughly explored by the state appeals court.
Pell was largely convicted on the testimony of one victim. The second victim died of an accidental heroin overdose in 2014 when he was 31 without complaining that he had been abused.
After Pell lost his first appeal in a 2-1 decision, the surviving victim, a parent now aged 36, said, "I just hope that it's all over now."
Lawyer Vivienne Waller said she spoke on Wednesday to the victim, her client who cannot be identified, and he was "very respectful of the legal process."
"I can understand that there are many survivors who might feel disappointed by the outcome and I can also understand that there are a lot of people who feel very deeply for my client and are concerned for his wellbeing and those sentiments are greatly appreciated," Waller told Australian Broadcasting Corp.
"But he is very respectful of the process and I think that the appeals process is an important part of the criminal justice system and the appeals process is an important check and balance," she added.
Pell's lawyers did not immediately respond to a request for comment on Wednesday.
Clerical sexual abuse and the Catholic Church's handling of such cases worldwide have thrown Francis' papacy into turmoil.
In a little more than a year, the pope has acknowledged he made "grave errors" in Chile's worst cover-up, Pell was convicted of abuse, a French cardinal was convicted of failing to report a pedophile, and U.S. Cardinal Theodore McCarrick was defrocked after a Vatican investigation determined he molested children and adults.
Pell must serve at least three years and eight months behind bars before he becomes eligible for parole. As a convicted pedophile, he is provided with extra protection from other inmates and spends 23 hours a day in solitary confinement.
By ROD McGUIRK Associated Press
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