The chairman of the European Research Group has said that he is concerned about the “Tommy Robinson-style” that UKIP has adopted in the run up to the European elections.
Political activist Mr Robinson was made personal adviser to UKIP leader Gerard Batten in November to give advice around grooming gangs and prison reform.
Speaking to talkRADIO's Julia Hartley-Brewer Mr Rees-Mogg said:"I think it is difficult to argue that the electoral prospects of the Tories in local and European elections are particularly promising.
“I think the European elections will be a boom for people on the further reaches of the Brexit argument.
“In this context, Nigel Farage’s party is a moderate party and I am much more concerned about the ‘Tommy Robinson-style’ that UKIP now has and what may come out of that.”
EU leaders have granted a six-month extension to the Brexit process making it more likely that the UK will participate in the European elections in May.
Mr Rees-Mogg went on to describe Theresa May as “an immovable force” not an “irresistible object”.
He added: “It seems that the prime minister goes over to Brussels and takes order from the European Union.
“It does not matter what she asks for, it is what they give her. I don’t think that is an impressive position for the British nation to be in.”
The MP for North East Somerset has said “the overwhelming majority” of Conservative MPs do not support extending the Brexit process.
“The prime minister must notice this and realise that she is going down a course that leads her away from her own party," he said.
“She is heading towards governing with the Labour party. That is an odd thing for a Tory leader to do.”