UK police chiefs during a meeting with UK Home Secretary Sajid Javid on Wednesday demanded additional search powers and money to deal with the sharp rise in knife crimes across the country, Sky News reported.
But Metropolitan Police Deputy Commissioner Sir Stephen House said he did not believe the Army should be called in.
"She insults people's intelligence with this nonsense".
It comes after two 17-year-olds, Yousef Makkie from Cheshire and Jodie Chesney from London, were murdered at the weekend in the latest in a string of stabbings. If one young person gets stabbed, similar youngsters locally are more likely to carry a knife for their own protection - and so the infection spreads.
"That's why the government will be launching a consultation on treating this as a public health issue".
Her official spokesman said she had tasked the Home Office with co-ordinating an urgent series of Cabinet-level ministerial meetings and engagements to accelerate the work Government is doing to support local councils and police.
Thompson said: "We can only surge in the short term by officers working longer hours, but we also need a sustainable surge".
On Tuesday Defence Secretary Gavin Williamson said the military would be "ready to help" play a part in tackling knife crime.
Sara Thornton, chairwoman of the National Police Chiefs' Council, said too many young people are dying on the streets of United Kingdom towns and cities and police needed to do all they can to stop the spiral of violence.
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Met Police have now confirmed they have made an arrested - picking up a male, with no further details released, more than 100 miles away in Leicester.
Ms Dick also hit out again at middle-class recreational drug users, agreeing that they have "blood on their hands".
He said: "Well there is [a link] because the evidence is there, and I'm staggered that the prime minister, who after all was the home secretary when the cuts to policing started, [cannot see that] the evidence is overwhelming".
Labour leader Jeremy Corbyn said on Monday that Mrs May "must start listening" to police chiefs over the impact of cutting 21,000 officers, adding: "You can not keep people safe on the cheap".
"There is no hiding from this issue. serious violence is on the rise, communities are being torn apart and families are losing their children", Javid said in parliament.
May caused controversy earlier this week by saying there was there was no direct link between certain crimes and police resources, contradicting London's police chief Cressida Dick, who said there was "obviously" a correlation.
Evidence suggests the way to stop young people being stabbed does not lie exclusively with the criminal justice system.
Senior officers from the Metropolitan Police, Merseyside, Greater Manchester, West Midlands, South Wales, South Yorkshire and West Yorkshire attended the meeting, as did representatives of the National Crime Agency and National Police Chiefs' Council.