Previously referred to as the Great Repeal Bill, the EU Withdrawal Bill overturns the 1972 European Communities Act which took the United Kingdom into the then European Economic Community.
However, the Withdrawal bill - which will make British law supreme and bring 40 years of European Union legislation onto United Kingdom statute books - passed through Parliament late Monday night.
Shadow Brexit Secretary Keir Starmer said the bill was a "naked power grab" by the government, adding that "this is a deeply disappointing result".
The main opposition Labour Party proposed a first set of amendments within hours.
The bill would come into effect.
It is controversial because it hands sweeping powers to ministers to change legislation as they see fit, without full scrutiny in Parliament.
Following the tough vote, May issued a statement calling it "a historic decision to back the will of the British people".
"Although there is more to do, this decision means we can move on with negotiations with solid foundations and we continue to encourage MPs (lawmakers) from all parts of the United Kingdom to work together in support of this vital piece of legislation".
The British public chose to leave the European Union last June. The challenge now is making the most of Brexit.
'Vikings' Renewed For Sixth Season By History
It is also a top-five drama across ad supported cable and averaged 4.1 million total viewers last season in Live+7. HISTORY announced Tuesday that they had officially ordered 20 episodes for a sixth season of the seafaring epic.
Though the Withdrawal Bill passed its second reading Tuesday, it's nowhere near law, yet.
Correction: This story has been corrected to reflect the stage this bill is at in the Parliamentary process.
May's Conservative government secured parliamentary approval for the bill thanks to its alliance with Northern Ireland's Democratic Unionist Party (DUP).
It will be limited to eight days.
He had "no qualms" about voting for the bill but admitted there were concerns about the so-called Henry VIII powers.
The party also wants the terms and duration of any post-Brexit transition period to be decided by Parliament, rather than ministers.
"It can not be excluded that numerous responsible people in the United Kingdom government obviously have unrealistic assumptions", European People's Party Spokesman Peter Liese said in a statement. "This is likely to cause delays and division in Parliament, and the prime minister has nobody to blame but herself".
Labour on Monday insisted that its policy on Brexit had not changed after Jeremy Corbyn appeared to suggest that Britain could remain in the single market permanently after it leaves the EU.
Johnson said Juncker "has said that he regards Brexit as a moment for the renaissance - or he's about to say this, according to the papers - as a moment for the renaissance of the European Union".
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