There are calls for a boycott of radio station 2GB over remarks by Sydney broadcaster Alan Jones that the Prime Minister's father, John Gillard, had "died of shame".

The talkback host told a packed room of Liberal Party members: "Every person in the caucus of the Labor Party knows that Julia Gillard is a liar, everybody. I will come to that in a moment. The old man recently died a few weeks ago of shame. To think that he has a daughter who told lies every time she stood for Parliament."

In a tape recording of the dinner, laughter can be heard in the background as Jones makes his remarks.

Jones went on to claim the media had somehow brainwashed the federal Liberal Party to go easy on the Prime Minister because "she's a woman".