The outgoing UKIP leader also called Barack Obama a "loathsome creature" during the interview
Nigel Farage says he will tell Donald Trump to come to the UK and "schmooze" Theresa May but "don't touch her for goodness sake".
The outgoing UKIP leader, who is travelling to the US where he hopes to meet the President-elect, joked in an interview about chaperoning a visit between Mr Trump and Mrs May and teaching him British etiquette.
He told Talk RADIO: "I am going to say (to Mr Trump) come and schmooze Theresa May - don't touch her.
"If it comes to it I could be there as the responsible adult to make sure everything is ok."
Later on in discussions, Mr Farage engaged in smutty chatter about Mr Trump meeting the Queen.
During the election campaign, a number of women came forward to say Mr Trump had groped them.
A tape was released of him saying that being famous allowed him to treat women as he wished and that when he met beautiful women he felt he could "grab them by the p****."
Mr Farage, who travelled to the US to campaign alongside the President-elect, defended Mr Trump at the time, dismissing the furore and saying it was just a bit of "alpha male banter" and "the kind of thing... that men do".
The UKIP leader said he would like to be Mr Trump's special adviser to Europe but acknowledged: "It's probably not going to happen."
He also used the interview to call Barack Obama a "loathsome creature" and said he "couldn't stand our country".