Hammond has previously repeatedly insisted that "when the British people voted [in the EU referendum] they did not vote to become poorer."
However, Theresa May's government will today release official assessments showing that he UK economy will be hit under all likely Brexit outcomes.
They are expected to show that:
Speaking on the Today programme, Hammond said there would inevitably be a cost to any form of Brexit.
"Purely from an economic point of view there will be a cost to leaving the European Union," Hammond said.
"If you look at this purely from an economic point of view there will be a cost to leaving the European Union because there will be impediments to our trade."
However, he added that there were potential "political" benefits to Brexit, such as being able to sign independent trade deals and have an independent fishing policy.
The analysis, set to be released in full on Wednesday morning, will show that leaving the EU without a deal would cost the British economy £150 billion, or some R2.7 trillion, over 15 years.
By contrast, Hammond said that May's deal would only leave the economy "very slightly smaller" than if Britain had remained in the EU.
The Chancellor also suggested that the government could be forced to change course and back an alternative form of Brexit, including a Norway-style Brexit in which Britain remains in the single market, if May's deal is defeated.
"If that is rejected then we will have to review the options," he said.
"We will have to look at the parliamentary arithmetic and see what is the best way to proceed."
Hammond said remaining in the Single Market would leave Britain at an "economic advantage."
"If you look purely at the economics, then remaining in the Single Market would give us an economic advantage yes," Hammond said.
Hardline Brexiteers in Hammond's Conservative party accused the Treasury of seeking to undermine Brexit.
"The reputation of government economics is in the gutter. That must change. It's time for the Chancellor to publish all his assumptions and full model documentation so we can begin the process of recovery," former Brexit minister Steve Baker said.
"We've all had about enough of Project Fear," former International Development Secretary Priti Patel said.
"We were told during the referendum campaign that we'd each lose £4,300 and that there would be a recession and higher unemployment. And yet we've seen record wage growth and record employment levels.
"If ministers spent time preparing for a no deal scenario, rather than dreaming up silly scare stories, we could all make a success of our post-Brexit future."
Also from Business Insider South Africa: