Brian Kearney has been given the mandatory life sentence after being found guilty of the murder his wife.
The jury, which had deliberated for five and a half hours, returned a majority decision of 11 to 1.
After five hours of deliberation, Justice Barry White had told the jury of the eight women and four men that he was willing to accept a majority verdict.
He said a verdict in a criminal trial is a matter of individual conscience for each individual juror and that it should not be a verdict by attrition.
He said he was therefore willing to accept a majority verdict, which is not a simple majority, but a majority of more than 10 jurors.
The jury began deliberations yesterday afternoon but following two hours they were sent to a hotel by trial Judge Mr Justice Barry White.
Mr Kearney had pleaded not guilty to the murder of his wife, Siobhan, at their home in Dublin in February 2006.
Outside the Central Criminal Court, Siobhan Kearney's sister, Aisling McLaughlin, read from the Victim Impact Statement the family was not allowed to deliver in court.
She said the family said the faith and trust they had in the criminal justice system had not been misplaced. She said Siobhan and they had got justice and they had not been let down.
