The mosques' worshippers, mainly from North and West Africa, had just left special prayers during the Muslim holy month of Ramadan.
Britain's terrorist alert has been set at "severe" meaning an attack is highly likely.
Men pray after a vehicle collided with pedestrians near a mosque in the Finsbury Park neighborhood of North London.
Eight people were killed and 50 injured on June 3 when three Islamist militants drove into pedestrians on London Bridge and stabbed people at nearby restaurants and bars.
The Ministry added that the Government condemned the attack on innocent civilians at the Finsbury Park mosque.
The video of the crash early Monday morning was accessed by Associated Press. "This was an attack on London and all Londoners and we should all stand together against extremists no matter what their cause", said London deputy police commissioner Neil Basu.
Ms Dick said: "This was quite clearly an attack on Muslims who looked like they were probably Muslims and they were coming from a prayer meeting".
Police will be deploying more officers, include PCSOs, to positions outside mosques to maintain a visible presence for the end of Ramadan and the start of Eid.
Further details were not immediately available.
Earlier this month, terrorists ran down pedestrians on London Bridge, before stabbing a police officer and civilians at London's Borough Market.
A Reuters witness saw at least one person being loaded into an ambulance.
He has also spoken to London Mayor Sadiq Khan and said it was important to make sure the response was "sufficient and co-ordinated" and to provide "reassurance" to the community.
Transportation officials said roads in the area were being closed.
A young man who spoke to Sky News argued that if it had been a Muslim attacking others in the city, it would have been labelled terrorism more quickly, and he called for "equality" in the way both the authorities and media handle such incidents.