Mr Johnson continued to defend the Government’s record as he faced calls from the opposition benches to resign.
Boris Johnson replied: “I don’t think there was a question there.
“They fundamentally know that they have no answer to that. We have a plan and a vision for this country. They have absolutely nothing to say and that is the difference between our side and their side.”
Meanwhile, the Prime Minister has insisted he was "getting on with the job", although he acknowledged there were people who "want me out of the way" for a variety of reasons.
Mr Johnson is awaiting the release of senior official Sue Gray's report into alleged lockdown-busting parties in No 10 and Whitehall.
The report is expected to be handed to No 10 today, although it had not been submitted by the time Mr Johnson stood up to face MPs.
But an indication of how damaging the report could be for the Government came when Scotland Yard chief Dame Cressida Dick announced a police inquiry was being carried out, based in part on evidence obtained by the Gray investigation.
Labour leader Sir Keir Starmer suggested Mr Johnson had misled Parliament about Downing Street parties, something which would normally require a minister to resign.
Asked if he would now quit, the Prime Minister said: "No."
Sir Keir said: "We now have the shameful spectacle of a Prime Minister of the United Kingdom being subject to a police investigation, unable to lead the country, incapable of doing the right thing and every day his Cabinet fail to speak out they become more and more complicit."
He challenged the Prime Minister to publish the full Gray investigation report as he receives it - Mr Johnson said he would "do exactly what I said", although there has been speculation the version published could be redacted or edited.
The Prime Minister is also committed to giving a Commons statement in response to the Gray report.
Sir Keir said: "Whatever he says in his statement later today or tomorrow won't change the facts. Isn't this a Prime Minister and a Government that have shown nothing but contempt for the decency, honesty and respect that define this country?"
Mr Johnson replied: "Of course he wants me out of the way - he does, and of course I don't deny, for all sorts of reasons, many people may want me out of the way."
But he said Sir Keir wanted him out because "he knows that this Government can be trusted to deliver".
He added: "We're - and in particular I - am getting on with the job."