Dublin City Council has removed the proposal to change the name of Herzog Park in Rathgar from the Council agenda and did not take a vote on the planned change.
Lord Mayor of Dublin Cllr Ray McAdam said the proposal should be removed because the report on the issue was not legally sound and should not be voted on.
He said legal advice shows there was no legal basis for the proposal and that he was annoyed, frustrated and fed up that this had occurred.
He said the proposal should be referred to the next meeting of the Commemorating and Naming Committee, which is due to meet on 15 December.
The decision was accepted by 35 votes to 25 with one abstention.
The park in Rathgar was named in 1995 after Chaim Herzog, the sixth president of Israel between 1983 and 1993, who was born in Belfast and raised in Dublin.
His son, Isaac Herzog, is the current president of Israel and his father served as the first chief rabbi of Ireland.
He served as president of Israel between 1983 and 1993. The park was renamed in his honour in 1995.
Dublin City CEO Richard Shakespeare reiterated his apology for what he said were the administrative oversights in relation to the report on the renaming.
He said he prided himself on getting the basics right, that the council had "failed miserably" and he said he took full responsibility for the systemic failure in this regard.
Mr Shakespeare also outlined the timeline during which he became aware of the issue, saying it began around 7pm on Saturday evening when he was contacted by the Secretary General in the Department of Housing and Local Government enquiring if what was being proposed was legally sound.
He said after he checked with the law agent he realised that the council had "walked ourselves into a legal problem" and a call the next day with the Secretary General confirmed that the relevant regulations that would allow for councillors to rename the park had not been enacted.
Watch: Dublin City Council CEO reiterates apology over 'oversights' on Herzog Park renaming
He said he made many calls over the course of the weekend but the only politicians he spoke to were the Lord Mayor and Councillor, and "at no stage did I make or received calls from national political figures or any of their advisers".
"No political pressure hard, soft, or otherwise was brought to bear," he added.
Speaking on behalf of the Fine Gael group on the Council, Cllr Colm O'Rourke said the proposal should not proceed if it was not legally sound and he said he understood why the Jewish community might see the proposal as an attack on them.
Social Democrats group leader Cat O'Driscoll said this initiative had come from the community and that the council had let them down. She said councillors had been put in a "state of whiplash" about how the process had been put forward.
She said she wanted the process to rename the park to go ahead and suggested finding the name of a "great Jewish Dubliner" after which it could be named.
Sinn Féin Cllr Dáithí Doolan said he wanted the renaming to remain on the agenda and the name Herzog to be removed from the park and replaced with "someone from the Jewish community we can all be celebrate and be proud of".
Green Party leader on the Council Cllr Janet Horner said she agreed the vote should not proceed because of the lack of "due process" by officials but she said she was also struck by the depth of hurt and personal appeals that had been made by people over the past 48 hours about the issue.
She said "any decision that we take has to be taken on the back of a sound process, particularly when it deals with an issue as sensitive as this one".
Fianna Fáil Cllr Daryl Barron described what happened as a fiasco and said the Jewish community had been hurt because of incompetence.
He said the issue has "gone everywhere" right across the world and the council would need to ensure that this doesn't happen again.
Speaking on behalf of the Independent Group of councillors, Cllr John Lyons, said that the council needed to apologise to the family of Terence Wheelock, because a proposal to rename Diamond Park in Dublin 1 after the young man who died in Garda custody 20 years ago, was also impacted by the decision not to vote on the issue.
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From paramilitary to president: Who was Chaim Herzog?
He also said he believes that political pressure had been brought to bear because a senior civil servant in government brought the issue to light.
He criticised the original naming of the park after the former Israeli president and said that there were "more honourable Jewish people deserving of the honour".
Labour Party group leader Darragh Moriarty also supported the proposal to withdraw the report and criticised the lack of involvement by local area committees in the decision-making process.
He also said what he called an overreach by some politicians such as the Taoiseach and the Minister for Foreign Affairs was "outrageous".
People Before Profit Solidarity Cllr Conor Reddy said it was a tragedy that the proposal to rename Diamond Park after Terence Wheelock had been lost in the process and he rejected calls of anti-Semitism that he said had been levelled at councillors who supported the Herzog Park renaming.
Cllr Malachy Steenson on behalf of the unaligned group of Independent Councillors said the original proposal was rewriting history and "performative nonsense from people".
Both the Lord Mayor and Mr Shakespeare apologised to the Wheelock family because their campaign had been impacted by the issue.
The Lord Mayor said he would meet with the family to see how else they could commemorate Terence Wheelock while the issue over renaming was being resolved.
Independent Cllr Kieran Perry's Emergency Motion condemning the intervention of the Taoiseach about the issue was agreed by the council.
Cllr Perry said his intervention and that of other senior ministers was "disgraceful" and amounted to "political interference" in the work of a local authority.
They accused them of carrying out the instructions of the Israeli lobby and he said the accusations of anti-Semitism directed at the motions was "slanderous".
The Lord Mayor said he would write to the Taoiseach, the Tánaiste and a number of Government departments about the issues that have been raised.
Mr Shakespeare also informed councillors that the legislation does not allow for the denaming of any place in isolation so any future proposals to remove a name would need to also include a proposed new or substitute name.