However, they promised to release their names "as soon as operationally possible".
According to Press Association agency, one of the men had identity card issued by Ireland.
It should be noted that law enforcement officers are conducting searches in various areas of London. Police report that a number of people were detained in Newham and Barking, east London.
Thus, 11 people were arrested in Barking after the raids. According to some data, one of the attackers lived in one of the locations being searched.
As it was reported earlier, two terrorist acts took place during the night of 4 June in London. 7 people were killed, at least 48 got injured.
London police conducted a special operation in the eastern Barking district, raid took place in a multi-apartment building, several people have already been detained.
The first attack occurred on the London Bridge at about 22:00 when a white van hit pedestrians at high speed. The bridge was blocked from both sides, police started evacuation.
The van headed to Borough Market afterwards. Terrorists left the vehicle there and attacked pedestrians. Witnessed also informed about intense shooting and that one of the criminals armed with bladed weapon ran into the restaurant and started carnage at the place.