The marked police car pursued the Peugeot 308 after it triggered a "positive hit" on an automatic number plate recognition system, Scotland Yard said.
The force added that the police car had its 'blues and twos' in operation at the time of the incident.
More top news
A father who must give police 24 hours' notice before he has sex is planning to go on hunger strike in protest at the "extreme" order.
Remaining unsettled over the next few days.
The BNP has been accused of leafleting near where Jo Cox was killed, which say the MP took "misguided action" by "helping Muslims".