"Only the Conservatives are working to ensure that when the United Kingdom leaves the EU we take back control of our laws, money and borders - Labour just can't be trusted to deliver on leaving the European Union".
He said: "Once again the very top of Labour, this time Jeremy Corbyn and Emily Thornberry, have failed to rule out a second referendum".
Corbyn made the comments on ITV's Peston on Sunday show after it was revealed Farage fears the Brexit vote could be reversed if a second referendum on European Union membership took place. "We are not calling for one either", he replied. She asked: "Why does Corbyn insist on being so out of touch with both the views of his own supporters and the best interests of the economy?"
The Labour leader said: "The single market is dependent on membership of the European Union".
"But, at the moment, and as things now stand, we proceed in good faith, we do as we are instructed and we are leaving the European Union".More news: Wells Fargo & Co (WFC) Rating Increased to Neutral at Atlantic Securities
Mr Corbyn also said today that there would "have to be a customs union with the EU obviously" but again insisted that Britain can not be a part of the EU's Single Market without being a member of the EU. She suffered a major voter backlash previous year against her demand for a second independence referendum.
"But at the moment, and as things now stand, we proceed in good faith, we do as we are instructed".
"So maybe just maybe we should have a second referendum on European Union membership".
In an interview with The Observer today, the former Ukip leader said he was anxious Brexiteers could "lose the historic victory" they won in 2016 as "The Remain side are making all the running".
He said he hated the term "second referendum".More news: WEEKEND WEATHER: Temperatures and Wind chills stay low the next couple days
"With Labour, there would be a majority in the Commons for single market membership, but not without us".
He said if the Labour leadership committed to staying in the trading arrangement it would be a "game-changing moment" in British politics as it would command a majority of cross-party MPs.
Deputy Tory Party Chairman James Cleverly said today: "Every step of the way Labour are trying to frustrate the Brexit process rather than make a success of it".
The SNP, Liberal Democrats, Plaid Cymru and the Greens will collectively back an amendment to the EU Withdrawal Bill this week.
The comments came after some Labour figures called for the party to change tack and campaign to remain in the single market and customs union after withdrawal.More news: Did Botswana Condemn Trump's Alleged 'Shithole' Slur Toward African Countries?