In early January, the House of Commons, where the conservative leader has an overwhelming majority, gave the green light to the Brexit, scheduled for January 31, before sending it to the House of Lords.
This chamber adopted five amendments to the text, inflicting separate setbacks on the government, especially concerning the rights of EU citizens residing in the U.K.
These amendments were rejected by lawmakers when the bill returned to the House of Commons on Wednesday. Finally, however, in a second vote, the members of the Upper House accepted the text.
Johnson's Conservatives won a large majority in the House of Commons in a general election last month, enabling the government to bring an end to more than three years of wrangling in parliament over Britain's departure from the European Union.
As of February 1, an eleven-month transition period will begin. Until Dec. 31, the United Kingdom will continue to be linked to the EU structures and comply with its rules.