Labour backbenchers Neil Coyle and Barry Gardiner have each written to Scotland Yard asking police to investigate reports that two parties were held in the run-up to last Christmas at a time when such gatherings were banned.
Mr Johnson has not denied the events took place but said no rules were broken – although he has repeatedly refused to explain how that could be the case.
In a statement, the Metropolitan Police said that while it did not routinely investigate “retrospective” breaches of the Covid regulations, it was considering the correspondence it had received.
On Wednesday, the Daily Mirror reported the Prime Minister gave a speech at a packed leaving-do for a senior aide last November when the country was in the midst of the second lockdown.
The newspaper said members of his No 10 team then held their own festive party in the days before Christmas, while London was under Tier 3 restrictions.
In each case, the paper reported, there were 40 or 50 people crammed “cheek by jowl” into a medium-sized room in No 10.
In his letter to the police, Mr Coyle said: “The sense of outrage from constituents is palpable that they followed the rules while those responsible for devising and enforcing them were breaching them at the top of government.
“The Prime Minister has been questioned on this and has replied that ‘no Covid rules were broken’ but from reading the guidance I believe even holding these events was a breach of the rules at the time.”
In his letter, Mr Gardiner expressed surprise that when Commissioner Dame Cressida Dick was interviewed on LBC on Friday, she said the force was not investigating the matter as she had not received correspondence on it.
“If these events did take place, it implies that there is one rule for the Government and another for everyone else,” he said.
“I believe your officers should investigate the matter further to establish the facts and to see if any laws might have been broken.”
Separately, Labour deputy leader Angela Rayner has written to the Cabinet Secretary Simon Case to ask whether he had considered referring the matter to the Met.
In a statement, the force said: “The Metropolitan Police Service is aware of widespread reporting and has received correspondence relating to alleged breaches of the health protection regulations at a Government building on two dates in November and December 2020.
“It is our policy not to routinely investigate retrospective breaches of the Covid-19 regulations; we will however consider the correspondence received.”
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