Federal Opposition Leader Tony Abbott has denied one of his senior staffers told a prominent Australian he would "cut his throat" when the coalition won government.

The claim was made by The Australian's political columnist Peter van Onselen, who tweeted about it following a Qantas party at Sydney airport on Thursday night.

"That particular phrase is denied, it's denied," Mr Abbott told reporters in Melbourne on Friday.

"I understand there was an unfortunate exchange between a staffer of mine and someone at a dinner last night.

"The incident is out of character as far as the staff member is concerned.

"It's been investigated and I understand the staff member has apologised to the person with which he had the incident."

Mr Abbott said the matter was now at an end.