A man in his 30s has been arrested on suspicion of a public order offence following an alleged incident involving a Remain-supporting MP.
Sky News understands the man in police custody is James Goddard.
The Metropolitan Police has confirmed the man was arrested on suspicion of offences that allegedly took place on Monday 7 January.
In a statement, the force said he was arrested at 11.42am on Saturday morning outside St James’s Park Tube station.
Ms Soubry, a prominent supporter of a second EU referendum, was taunted during live TV interviews in Westminster on Monday.
She was later harangued by a group of men as she made her way back to parliament.
Ms Soubry posted about the incidents on Twitter: “Apparently MPs & politicians are meant to accept it as part of the democratic process.”
Dozens of MPs wrote to the Metropolitan Police commissioner to express “serious concerns” about the “deteriorating public order and security situation” in Westminster.
The issue was discussed in the House of Commons, with Tory MP Nick Boles raising a point of order about reports of “threatening behaviour of certain protesters” towards Ms Soubry.
House of Commons Speaker John Bercow told MPs the police had been “made well aware” of his concerns.