Boris Johnson has said he is “deeply concerned” by footage showing police officers detaining women at Saturday’s vigil to remember Sarah Everard.
The prime minister will chair a meeting of the crime and justice taskforce later to discuss ways to protect women.
Officers handcuffed women and removed them from the gathering on Clapham Common in London on Saturday.
Met Police Commissioner Dame Cressida Dick has dismissed calls to resign and defended the force’s actions.
She said she was “more determined” to lead the Met, and hit out at “armchair” critics.
Dame Cressida will join Mr Johnson at the taskforce meeting, which will discuss what further action is needed to make streets safer for women.
Government sources said both Home Secretary Priti Patel and the prime minister had confidence in Dame Cressida.
Ms Patel has instructed the police watchdog, Her Majesty’s Inspectorate of Constabulary (HMIC), to “conduct a lessons learned review in to the policing of the event”, the prime minister has said.
Mr Johnson said he was “deeply concerned” by the scenes on Clapham Common on Saturday night and that Dame Cressida had “committed to reviewing how this was handled”.
“The death of Sarah Everard must unite us in determination to drive out violence against women and girls and make every part of the criminal justice system work to protect and defend them,” he added.
Dame Cressida said she agreed on the need for a “sober review” and defended how officers responded to the “really big crowd”.
“They have to make these really difficult calls and I don’t think anybody should be sitting back in an armchair and saying ‘well that was done badly’ or ‘I would have done it differently’ without actually understanding what was going through their minds,” she said.
She added that what happened to Ms Everard made her “more determined” to lead the organisation.
Four people were arrested for public order and coronavirus regulation breaches, the Met said.