The petition went on Parliament’s e-petition website on Tuesday. It was posted in response to Mr Trump’s call for a temporary halt on Muslims entering the United States.
Chancellor George Osborne criticised Mr Trump’s comments but rejected calls for him to be banned from the UK.
Any petition with more than 100,000 signatures is automatically considered for debate in Parliament.
Mr Trump is seeking the Republican nomination for next year’s US presidential election.
He said on Wednesday he would never leave the 2016 race, despite the volume of calls for him to step aside.
In other developments:
Scotland’s First Minister Nicola Sturgeon has stripped Mr Trump of his status as a business ambassador for Scotland.
Aberdeen’s Robert Gordon University has revoked Mr Trump’s honorary degree, which he received in 2010 in recognition of his achievements as an entrepreneur and businessman.
One of the Middle East’s largest retail chains, Lifestyle, has withdrawn Donald Trump products from its shelves following his comments.
‘The signatories believe Donald J Trump should be banned from UK entry’
Trump claim wrong that police ‘afraid’ in London – PM says.
