Ukip's David McNarry has called Taoiseach Enda Kenny "a foreigner' who has no right to delve into Northern Ireland affairs.
The MLA was speaking on The Nolan Show on Tuesday morning about the Stormont talks.
"It seems that the Taoiseach Enda Kenny's running these talks. He's in charge and taking charge of our internal affairs," he said.
"He's telling us what to do on Europe and I really think it's time for Mr Kenny to butt out.
"He's buzzing around like a vulture, licking the bones of another nation's business and foreigners have just got to stop interfering in the United Kingdom's affairs and that's why we want to exit the EU."
Stephen Nolan challenged McNarry: "You seriously don't think the Irish government, who have been involved in talks in Northern Ireland for many, many years - as you well know - have a part to play in this?"
The politician replied: "They have a part to play in it, of course but not in the internal affairs of northern Ireland and he's running around appearing in Belfast and London, and back to Belfast, as if he's running the whole show and as far as I'm concerned he's not doing any good. He has no right to be delving into our internal affairs."
Enda Kenny met the Prime Minister at 10 Downing Street on Monday night, where David Cameron briefed him on his private meeting with Peter Robinson and Martin McGuinness on Friday morning.
There is growing expectation that nine weeks of crisis talks will end, with or without resolution, in the coming days.