The plan would break a pledge to have a counter staffed 24/7 in each of the capital’s 32 boroughs.
A Met Police spokesman said: “Just five per cent of crimes were reported using front counters last year, with the vast majority of Londoners doing it over the phone, online, or in person with officers elsewhere.
“Given the Met’s budget shortfall and shrinking size, it is no longer sustainable to keep all front counters open.
“That’s why we have taken the tough choice to pursue some closures and a reduction in hours – allowing us to focus resources relentlessly on tackling crime and putting more officers into neighbourhoods across London.”
Munira Wilson, Liberal Democrat MP for Twickenham, which is understood to be losing its front desk, said: “Axing Twickenham police station’s front counter leaves the entire borough of Richmond without a single public access point for our local police.
“This is yet another sign that London’s policing is struggling as crime rises, both locally and across the capital, and the police are less visible and accessible to the public. Local residents will rightly be worried about their safety and the ability to report crime easily.
“The Government must urgently commit to funding the Met properly to rebuild community policing across London before it’s too late.”
It is understood that Merton, Wimbledon, Lavender Hill and Mitcham will also lose their front desks.