Published Tuesday, 24 September 2013
Mr Robinson made the remarks on Monday after the politicians clashed over the issue of the Maze Peace Centre which was raised by Mr Allister during topical questions.
Plans to build a peace centre at the former site of the Maze prison were shelved last month after the DUP withdrew its support for the controversial project.
After answering the TUV leader's question over his U-turn on the former prison site, the First Minister went on to accuse Mr Allister of "secretly" selling land to republicans in Co Fermanagh while "being tough" with republicans politicians in the Assembly.
Mr Robinson continued: "He chides me for doing business with republicans, but then secretly and outside of the House, the member, as the executor of a will, is selling land to republicans in County Fermanagh to benefit his own family."
Jim Allister responded: "I am not the executor. That is a damnable lie."
He later asked the Speaker, Willie Hay, what protection exists for an MLA who is "the victim of a malicious falsehood such as I was today".
The North Antrim representative added: "The truth is that I am neither the executor nor the beneficiary of any such will, nor am I involved in any such land sales."
Mr Allister also reiterated in a statement later that Mr Robinson's comments were not true.
It’s clear the DUP spin machine is in overdrive to try and recover from their embarrassing PR disaster, but attempting to slur me and my family in the process will not be tolerated.
Jim Allister, TUV
A member of the family, who wished to remain anonymous, contacted UTV on Tuesday also to refute the allegation.
A statement was issued, which read:"Mr Robinson has sought to besmirch our family name by putting out a false version of events in a point of order.
"Jim Allister's version of events and statement is accurate."
The statement continued: "I urge Peter Robinson to withdraw his allegations and apologise to the wider family circle, who are not in any way involved in politics."
A spokesperson from the DUP said Mr Robinson's remarks were aimed at Mr Allister regarding an alleged "lack of consistency not about the decision itself".
"As a general principle, it is entirely a matter for any person who they sell their property to."
Meanwhile, the Assembly Speaker has told MLAs he believes Stormont debate has fallen below standards. Willie Hay said he believed the matter is closed.
"I have to say the standard of debate yesterday was below the standard of debate that I expect . However, it is clear to me that no allegations were made of unlawful behaviour.
"These were political points being made. I also note that Mr Allister clearly refuted the allegations on the official record and further did so outside this house."
© UTV News