Criticism of the Bill has focused on the use of Henry VIII clauses to allow ministers to amend laws, with one Labour MP describing parts of it as "clauses Erdogan, Maduro and Putin would be proud of".
The bill, which will end the supremacy of European Union law in the United Kingdom, now moves onto its next parliamentary stage but scores of amendments were tabled within hours of it passing its first parliamentary hurdle.
MPs voted to give the people a referendum, the country voted for Brexit, Parliament ratified the result when it triggered Article 50 and now the process is underway to incorporate European rules and regulations into United Kingdom law after the EU (Withdrawal) Bill passed its first major Commons obstacle.
The government also survived a vote on the timetable for debating the bill - with Mr Clarke the only Tory rebel. Critics' concerns centre on ministers giving themselves the power to make changes to laws during this process without consulting MPs.
It is controversial because it hands sweeping powers to ministers to change legislation as they see fit, without full scrutiny in Parliament.
The bill was put forward by Commons leader and one-time Prime Ministerial candidate Andrea Leadsom.
The Labour leader is expected to urge his MPs to oppose the EU Withdrawal Bill in a Commons vote today
He said: "Labour will seek to amend and remove the worst aspects from the bill but the flaws are so fundamental it's hard to see how this could ever be made fit for objective".
The Liberal Democrat Brexit spokesperson, Tom Brake, said MPs who backed the bill should feel "ashamed".
British lawmakers voted in favor of a key Brexit bill early Tuesday morning, marking an important milestone in the UK's exit from the European Union.
London is convinced that global sanctions have proved to be an effective tool for imposing worldwide pressure on states that act counter to worldwide law, the UK government said in its future partnership paper, stipulating the strategy of UK-EU relations in the post-Brexit era.
"It's in our mutual interest to work closely with the European Union and its member states to challenge terrorism and extremism, illegal migration, cyber-crime, and conventional state-based military aggression".
Another source said Britain asked for the delay to let May set out London's latest views and plans on Brexit before more negotiations.
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