The Metropolitan Police Commissioner said Londoners should call police if their neighbours persistently break Covid-19 rules.
Dame Cressida said the force is receiving "hundreds of calls a day" from concerned people, with fines handed out to those who are "completely reckless", having house parties or keeping a restaurant, pub or cafe open.
She told LBC radio: "The last thing I'm going to say on national radio is everyone should be shopping everybody. I don't think that.
"What I do think is, if you do have concerns that somebody is persistently not complying with the restrictions, with the regulations, then, yeah, you should talk to us.
"If you feel comfortable to do so, then talk to us."
The Metropolitan Police said officers had issued more than 140 fixed penalty notices (FPNs) totalling £39,000 in two days in the Tower Hamlets and Hackney areas of London.
On January 15, officers were called to a property in Brick Lane, east London, and found more than 40 people having a party at an Airbnb.
Three officers were injured and three arrests were made for possession of a class B substance, breach of coronavirus legislation and assault on an emergency worker.
On January 16, officers attended a place of worship in Stamford Hill, Hackney, and found evidence of a large party being cleared away.
Officers later returned and found evidence of another large party, and the organiser was reported for consideration of a £10,000 FPN.
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