There was a clear lack of support in the House of Commons when only 85 MPS voted for the amendment and 334 voted against. The Labour Party abstained as they said the timing was not right to vote.
The vote to delay Brexit requires that parliament will debate alternatives.
Merely two weeks before Britan is to leave the EU, it is yet to agree on whether to ask Brussels for a departure delay.
Some pro-European MPs were angered by the decision as they have concerns over the Labour leadership’s political posturing.
A celebrity backed ‘put it to the people’ rally has been planned for March 23 in order to demand a second Brexit referendum.