Sinn Féin TD Mary Lou McDonald has rejected the finding from the Dáil Committee on Procedure and Privileges that she abused parliamentary privilege by naming politicians who were said to have held Ansbacher accounts.
Ms McDonald named several people in December, including five former ministers, who she said held Ansbacher accounts.
All of those named by Ms McDonald have denied the claims.
The CPP said her utterances were "in the nature of being defamatory" and she should not have named the politicians.
Speaking on RTÉ's News at One, the Sinn Féin deputy leader said she exercised her Dáil privilege in a thoughtful, responsible and considered way.
She said: "I exercised it with the sole goal of having these matters fully and finally investigated, concluded and laid to rest."
Ms McDonald also said she did not intend to say sorry to anyone over the claims.
She said she was echoing allegations contained in the dossier and she went to considerable lengths to state that, while they are allegations, the source is a credible one.
Ms McDonald said the core of the issue is that there are allegations contained in the dossier that have not been investigated to their conclusion.
She called on Taoiseach Enda Kenny to institute an inquiry that would fully investigate the claims.
The Minister for Jobs Richard Bruton questioned Ms McDonald's motivation in not accepting that allegations that certain politicians held Ansbacher accounts have been fully investigated.
Mr Bruton said the claim by Ms McDonald that the threat of a motion of censure against her was designed to distract attention from the way the minister's department handled the allegations is totally untrue.
Mr Bruton said the matter has been investigated by the Revenue Commissioners, gardaí, two tribunals and the Office of the Director of Corporate Enforcement.
He said these were important issues and required assessment by the relevant authorities, but this was done in full over 15 years ago.
The minister said all the relevant documentation had been provided to those investigations by his department.