The bill repeals the 1972 European Communities Act which formalised the UK's membership of the EU and allowed European law to take precedence over legislation passed by United Kingdom lawmakers.
The BBC reports that opposition parties are expected to challenge the bill, meaning the Prime Minister could be forced to "water down" some of the government's more hardline positions on Brexit, such as plans to leave certain EU institutions and revoke the power of the European Court of Justice.
The SNP accused the UK Government of being "in hiding" after the bill was introduced at Westminster without debate.
Liberal Democrat leader Tim Farron said he was keen to work across party lines.
While the bill will most likely be passed through the House of Commons, it may face tougher opposition at the House of Lords.
Scotland's First Minister Nicola Sturgeon says the bill is "an attack on the founding principles of devolution (that) could destabilise our economies".
But International Trade Secretary and Brexit campaigner Liam Fox has warned "Remoaners" that guerrilla warfare in Parliament can not stop Brexit, and only makes the prospect of a departure with no formal exit agreement more likely.
Discussing the possibility of Britain leaving the Euratom treaty, which is responsible for regulating the nuclear industry across the European Union, after Brexit, Ms Soubry said the Government must not "hide behind false red herrings, like the ECJ" when deciding its future in the treaty. The country is set to withdraw in March 2019 after negotiations on the divorce and a possible future trade deal.
The government has on Thursday published the bill to "maximize continuity" on the day the United Kingdom effectively withdraws from the European Union wherever it is "practical and sensible".
"That's why any deal with the European Union must ensure that workers' rights in Britain don't fall behind the rest of Europe". The bill states that: "A minister of the crown may by regulations make such provision as the minister considers appropriate" to prevent, remedy or mitigate deficiencies in retained law arising from Brexit.
Ministers will be able to amend United Kingdom laws and even create new agencies and regulators to implement them if necessary.
A new raft of so-called "Henry VIII powers" will be handed to May and Brexit Secretary David Davis, allowing them to avoid Parliamentary scrutiny of up to 1,000 different regulations.
Ministers will also get sweeping new powers to amend the law without consulting parliament after Brexit under the bill.
Amnesty International UK and Liberty today jointly call on the Government to ensure the Brexit process does not roll back the rights and freedoms of people in the UK - and to include this formal commitment in the text of the Repeal Bill. The Bill will incorporate existing European Union environmental law into United Kingdom law and, as such, is meant to give certainty and continuity to business and organisations.
She said: "The PM promised to protect all workers' rights after Brexit".