"We've made clear to the (Trump) administration that these claims are ridiculous and they should be ignored and we've received assurances they won't be repeated," James Slack, spokesman for British Prime Minister Theresa May, said.
The US President had claimed that his Trump Tower residence in New York was under surveillance authorised by former President Obama and allegations of Britain's Government Communications Headquarters (GCHQ) involvement were initially made by former judge Andrew Napolitano.
Earlier, the GCHQ took the rare step of making a public statement about the allegations as a US Senate Committee concluded yesterday that there were "no indications" of Trump Tower being under surveillance by the US government before or after the election.
"Recent allegations made by media commentator Judge Andrew Napolitano about GCHQ being asked to conduct 'wiretapping' against the then President-elect are nonsense," a GCHQ spokesperson said.
Senior officials from GCHQ are also expected to make representations to its American counterpart, the NSA, about their concern over such allegations being made, British media reported.