A new opinion poll has revealed that a clear majority of people are now in favour of a new referendum to repeal the current position on abortion.
According to the Millward Brown survey in the Sunday Independent, the poll also reveals two thirds of people believe abortion is acceptable in specific circumstances.
More than 40 per cent say they disagree with the Government's decision to postpone tackling the abortion issue until after the next general election.
However, the Taoiseach insisted the issue of abortion won't be revisited in the lifetime of the current government.
Speaking at the Fine Gael parliamentary party think-in in Cork, Mr Kenny said that despite the controversy over the 'Y-case', there's no change on the cards.
Ms Y, an immigrant rape victim who wanted an abortion and said she was suicidal during the summer, prompted calls for a review of the latest legislation or even another referendum.