Mr Boles" actions follow Theresa May losing last night's "meaningful vote' on her Withdrawal Agreement by 391 votes to 242.
Theresa May's Brexit strategy has been left in tatters after MPs rejected her Brexit deal for a second time on Tuesday, by a majority of 149.
May, who said that she "profoundly rejects" the decision taken by the house, added that Tory MPs will be given a free vote on the no-deal motion on Wednesday.
"Since her Brexit deal was so overwhelmingly rejected, the Prime Minister has recklessly run down the clock, failed to effectively negotiate with the European Union and refused to find common ground for a deal Parliament could support".
Conservative MP for Faversham and Mid Kent Helen Whateley told ITV Meridian's Political Correspondent Phil Hornby she was hoping for a better result.
"The government has been defeated again by an enormous majority and it must accept its deal is clearly dead and does not have the support of this House", said Labour leader Jeremy Corbyn, whose party voted against the deal.
Theresa May has been described as a "rabbit in the headlights", too frightened of Brexiteers in her party to really say how bad no-deal would be for country, according to a Labour MP.
On his Facebook page, Mr Western has said: "This week, there are three key Brexit votes".
The CEO of global consultancy DARE, said businesses continue to rally against a no-deal Brexit - and this should be foremost in the minds of MPs tonight.
However in a seemingly confusing loophole in no deal plan, Northern Ireland's border would remain open at least "temporarily" and goods entering from the Republic would not face tariffs to preserve the Good Friday agreement.
"Instead of making any genuine attempt to work constructively with others, the Prime Minister spent the last two and a half years pandering to the DUP and her own increasingly right-wing backbenchers, all while ignoring the concerns of the devolved governments".
Some of her colleagues around the Cabinet table think it shows she has to tack to a closer deal with the EU.
"I feel like MPs like myself who want to honour the referendum have been put in a bind".
She said that the choices facing the United Kingdom were "unenviable", but because of the rejection of her deal, "they are choices that must be faced".