"To hold such a referendum would be to call into question the decisive importance of the largest democratic exercise ever held by this country", Bolton said.
"That is how deep my distrust is for career politicians", he wrote.
The Brexiteer said he fears Parliament will reject a final Brexit deal and some MPs and Peers will do "everything they can to put us through a second Brexit referendum".
Last month Mr Farage raised eyebrows when he said he was "skint" at 53 years old, despite being entitled to the £90,000-a-year MEPs' salary and living in a £4 million townhouse.
Appearing on Channel 5's The Wright Stuff on Thursday, he said: "What is for certain is that the Cleggs, the Blairs, the Adonises will never ever ever give up".
But he later backtracked, saying in and on LBC radio that a second referendum was the "last thing" he wanted but Leave voters had to be prepared and he was confident they would win again. Do we stick with the view that the result will stand or acknowledge the fact that we face this potential threat?'
He suggested this week that he was "reaching the point of thinking we should have a second referendum" to silence pro-Europeans opposed to the 2016 vote to leave the bloc, but later walked back the comments.
The ex Ukip leader, who met with the EU's chief Brexit negotiator Mr Barnier this week, said he has become convinced Brussels is determined to give the United Kingdom a bad deal to punish the country for quitting the bloc.
Mr Evans said: "Investment in the United Kingdom from countries overseas has actually not slowed, which was one of the key things we were told would be a problem".
"The debate that we had was hypothetical", said Mr Umunna.
The result in June 2016 means that the United Kingdom is leaving the European Union, with the date for departure set as 29 March 2019.
Mr Farage met with the EU's chief Brexit negotiator Michel Barnier on Monday to discuss key Brexit issues.