The Internal Market Bill is intended to protect the integrity of the UK and should be supported by all parties in the parliament, UK Prime Minister Boris Johnson told lawmakers on Wednesday.
On Tuesday, the UK House of Commons vote 340-263 in favour of the Internal Market Bill, which the prime minister presented to Parliament last week.
The bill seeks to scale back some of Britain's obligations under the Withdrawal Agreement, related to state aid and customs checks on the Irish border.
The controversial legislation was previously met with a backlash from Brussels and in the UK itself, prompting concerns even from Conservative lawmakers about the potential repercussions it could have for Britain's reputation.
The Irish border issue has been a sticking point in the negotiations between London and Brussels since the very beginning. In October, the Northern Ireland Protocol was established in a bid to avoid a hard border between the UK and the Republic of Ireland, which is part of the EU.
Earlier this month, Johnson gave the EU until 15 October to make headway on a free trade deal, otherwise, both parties should be prepared to abandon the talks and "move on".
The United Kingdom left the European Union in January but remains under the current EU trade terms. However, if no trade deal is secured before the so-called transition period expires on 31 December, the World Trade Organisation's rules for both parties will come in effect starting 2021, including customs tariffs and full border checks for UK goods entering the European area. The sides have been engaged in talks to secure a trade deal but have both pointed to the lack of progress in the negotiations.
