Peter Robinson is backed by the DUP's assembly team
The statement was read by Nigel Dodds, deputy leader of the DUP
The DUP's full assembly team have offered their leader Peter Robinson their support as he faces pressure to quit as NI First Minister.
He could be forced to resign after a BBC Spotlight programme on his wife, Iris's private life and finances.
But Nigel Dodds said Mr Robinson had their "wholehearted support" and they wished him to remain as their leader.
He was speaking as the first minister prepares to answer urgent questions at a special session of the NI Assembly.
Mr Dodds, the party's deputy leader, who had been tipped to take over as leader, said that despite attempts by elements of the press and the DUP's political opponents to force Mr Robinson from office, the party was firmly behind him.
He said they wanted him to express their "desire for him to remain in office as leader of the DUP".
The party deputy leader said that at a combined meeting of DUP MLAs, party officers, the parliamentary party and their European member, it was agreed unanimously to offer Mr Robinson their full support.
Ian Paisley snr and Ian Paisley jnr, along with Peter Weir, George Robinson and Ian McCrea were among the small number of DUP MLAs who remained in the assembly chamber while Mr Dodds delivered his party's statement in support of Mr Robinson.
Finance Minister Sammy Wilson was on his feet addressing the assembly at the time.
Earlier, Mr Wilson said Mr Robinson had the full support of his party and the community.
And Enterprise Minister Arlene Foster condemned the "whispering campaign" against him.
There will be an extended edition of BBC NI's Stormont Live at 1430 GMT on Tuesday to cover the special session of the NI Assembly.
Speaking on BBC Radio Ulster's Nolan on Monday, Mr Wilson said: "Peter Robinson has not only got the backing of the party, I think he has the backing of the community.
"I have been out and about over the weekend. I have found nothing but sympathy and support for him."
Mrs Foster said: "The party wholeheartedly supports Peter. If there are those who are starting a whispering campaign, let them come out."
Iris Robinson is currently receiving "acute psychiatric treatment" as the furore surrounding her continues.
She obtained £50,000 from two property developers for her 19-year-old lover, Kirk McCambley, to launch a cafe.
She failed to register the money with the authorities in Stormont and Westminster, as required by the law.
It is alleged that the first minister knew about her financial dealings but did not tell the proper authorities.
The story was broken by the BBC Spotlight programme last Thursday.
The evening before that, Mr Robinson revealed that his wife - an MP and NI assembly member - had attempted suicide following the affair.
On Friday, as the storm broke surrounding the allegations, the first minister said he believed he had not done anything wrong.
He has asked government lawyers to investigate his conduct.
'Authority'
He said he would "not be slow" in taking a decision if that investigation found that he should have acted differently.
Over the weekend, a number of parties cast doubt on whether the legal opinion sought by Mr Robinson would have sufficient authority to clear the matter up.
Lord Trimble said he expected Mr Robinson to step down soon
Meanwhile, a DUP spokesman has said Mrs Robinson was receiving treatment from the Belfast Health Trust.
Reports that she was in a French ski resort were "completely untrue", he added.
In December, Mrs Robinson issued a statement saying she was leaving politics due to ill health. However, at the weekend, DUP sources confirmed she would be stepping down as an MP and MLA within the next few days.
She represents the Strangford constituency in County Down both at Westminster and at the Northern Ireland Assembly.
Sources also confirmed that she would be leaving the DUP.
Over the weekend, Mr Robinson came under increased pressure to step down as first minister.
On Sunday, former first minister and ex-Ulster Unionist party leader David Trimble said he could "no longer deliver" in the role.
Speaking to the BBC, Lord Trimble said the DUP leader had "lost his authority within the party and the system".
Lord Trimble said he expected Mr Robinson to step down within the "next few days".
"To have a situation where a party leader sees his wife expelled from the party and acquiesces in it, doesn't even persuade the party to give her a decent way out, shows there has been a complete loss of authority," he said.
'Untenable'
Sinn Fein President Gerry Adams said it was important that the problems surrounding the Robinsons did not detract from the current political impasse over the devolution of policing and justice.
Mr McIlveen said he was only expressing his own point of view
"This is not about the Robinsons' private family matters," he said.
"It is about implementing outstanding political agreements that are essential to good government and public confidence."
A close friend of ex-DUP leader Ian Paisley repeated his view that Mr Robinson's position as Northern Ireland first minister was "untenable".
Free Presbyterian minister David McIlveen stressed that his opinion was not that of Mr Paisley.
His Church has also said he was not speaking on their behalf.
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