A retired Catholic priest convicted of indecently assaulting three boys is still being financially supported by the Church, which has even provided him with a new car.

Robert Francis Flaherty was five years ago convicted of the assaults, which took place in the '70s and '80s.

Speaking with remarkable candidness to A Current Affair , Flaherty openly made admissions about two of the attacks.

Retired priest Robert Flaherty was convicted of indecently assaulting three boys in the '70s and '80s. (9news)

"Back in 1972 I was accused of touching a teenager. He consented to it, he was about 14 or 15," he said.

That victim was an altar boy at Our Lady of the Rosary Church at St Mary's.

"There may have been mutual touching, nothing else," Flaherty said.

The Catholic Church is continuing to pay for Flaherty's bills and car in retirement. (9news)

"At the same time my mother was in palliative care - she'd been there for three years. My father had just died so it was a time of life when, you know, I was gone."

The second assault took place 10 years later, with another boy aged between 14 and 15.

This time the boy, who attended mass at St Monica's Parish Church at Richmond, was assaulted at Flaherty's weekender at Mollymook on the NSW South Coast.

Flaherty spoke candidly with A Current Affair reporter Simon Bouda. (9news)

Flaherty claimed he was "covering the fellow up" against the chill of the night when he "touched him on the outside of his pants".

He claimed the attacks were the result of "carelessness" and said he had apologised to the victims.

"It was caused by carelessness, lack of judgement, lack of self-control," he said.

Flaherty said his actions were due to "carelessness". (9news)

Flaherty also admitted that the Catholic Church paid for his bills and for a 2017 Kia Cerato he used for his personal transport.

He claimed it was standard practice that would apply to any "retired priest".

The third of Flaherty's victims, Dwayne, said he was "flabbergasted" by it.

Flaherty's 2017 Kia Cerato is registered to the Catholic Church. (9news)

When he was 11, Dwayne, then an altar boy at St Patrick's Church in Blacktown, was also assaulted by Flaherty at his Mollymook house.

In his case, Dwayne woke up as the assault was being carried out.

"It wasn't so much what he did to me, it was what he did after to keep me quiet," Dwayne said.

Dwayne was one of Flaherty's victims. (9news)

"To put the shame and the - sorry, not the shame, the guilt of not being able to tell anybody."

He claimed Flaherty told him the church would believe the priest over an 11-year-old boy.

Flaherty still denies having carried out the assault against Dwayne.

Flaherty denied assaulting Dwayne, who was an 11-year-old altar boy at the time. (9news)

He told A Current Affair he had "no recollection" of the episode, but claims he did give the boy a rub down with vapor-rub as he had a "cold".

"Today he's still claiming that he didn't do it. To me, that hurts," Dwayne said.

"I did want an apology, would have liked an apology from him that never came."

In a statement to A Current Affair, the Catholic Archdiocese of Sydney said it sought to minimise the risk to the community once paedophile priests had served their sentence.

A spokeswoman said research showed offenders who were supported and monitored, were less likely to re-offend.