The Vatican will announce the resignation today of an Irish bishop accused in a damning report on clerical child sex abuse of ignoring allegations from victims.

The bishop of Limerick, Dr Donal Murray, has been in Rome awaiting his fate for more than a week after claims in the Murphy report that he mishandled abuse allegations against priests in Dublin.

His expected resignation comes as calls grow from the victims of paedophile priests for a criminal investigation into how Murray handled the claims of abuse.

Mervyn Rundle said that Father Thomas Naughton was simply moved from one parish to another after allegations that he was abusing Rundle and other children in the 1980s.

Naughton was jailed yesterday for abusing a boy at least 70 times between 1982 and 1984.

He was sentenced in 1998 to three years' jail for abusing Rundle and other boys in the north Dublin area of Donnycarney. The sentence was reduced by six months on appeal.

Rundle said of the church hierarchy after yesterday's sentencing: "When are the guards [Irish police] going to act against these guys?"

John Brennan, a retired Garda sergeant who sought to have Naughton removed from Valleymount in 1984 after complaints from parents, said Naughton was "a human being with a problem" and justice should be taken a step further.

"It was his superiors who, aware of this weakness, sent him around to other places, and I think they shouldn't be allowed at this stage to resign or retire," he said. "They should be the subject of a criminal investigation. If there is neglect and evidence of a cover-up, it shouldn't be a question of somebody resigning. They should be the subject of a criminal charge."

Naughton, a 78-year-old St Patrick's Missionary Society priest, had pleaded guilty to five sample counts of indecent assault and yesterday received five three-year sentences, to run concurrently, with the final year suspended in each case.

Handing down the sentences at Wicklow circuit court in Bray, Judge Michael O'Shea said the abuse was "appalling, shocking and horrifying".

The court heard that it started in 1982 on a six-year-old altar boy in Valleymount parish, where Naughton was curate.

Judge O'Shea said the abuse had an "absolutely catastrophic" impact on the victim's life.

The archbishop of Dublin, Diarmuid Martin, a leading reformer in the Irish Catholic church, said after the trial: "Tom Naughton was an abuser who damaged the lives of many innocent young people. I hope those involved in today's proceedings will find some solace and justice in his having to serve a jail sentence for his crimes."

Naughton is one of nine priests from Dublin's Catholic archdiocese to have been convicted of child sex abuse. Four other priests of the diocese face similar charges.

Andrew Madden, who was abused by a former priest, Ivan Payne, last night called for the immediate resignations of five bishops mentioned in the Murphy report – Murray, Jim Moriarty, Martin Drennan, Éamonn Walsh and Ray Field.

"Their continued presence in office is an insult to every child sexually abused by a priest in the Dublin archdiocese. They display a contemptible level of arrogance and a shocking lack of humility. The Catholic Church in Ireland has totally failed to respond at all appropriately to the findings of the Murphy report," he said.