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Police blocked the entrance of Maidstone's barracks tonight after a man was killed outside a London army base.
Three cars were parked outside the Invicta Park Barracks, off Royal Engineer's Road, from about 5.30pm yesterday.
Patrols were reduced to one vehicle just before 10pm.
Kent Police announced that officers would provide a visible presence across county after a man was murdered in a suspected terrorist attack in Woolwich, at about 2.20pm.
Assistant Chief Constable at Kent Police, Gary Beautridge, said: "We are working with local communities and partners whilst the Metropolitan Police investigate the full circumstances around this incident.
"We are providing high visibility policing in areas across Kent and would appeal for people to stay calm and work with us to ensure the safety of everyone in our county."
Two men have been arrested in connection with the killing.
Home Secretary Theresa May confirmed security has been increased at army barracks.
In a statement, she said: "The police and Security Service are establishing the full facts of this barbaric case, but there is a strong indication that it was an act of terrorism.
"In the meantime, security has been increased at army barracks across London.
"This attack was an attack on everyone in the United Kingdom, and it will be condemned by people from every community.
"Our thoughts and prayers tonight are with the victim and his family.
"We have seen terrorism on the streets of Britain before, and have always stood firm against it. Despicable acts like these will not go unpunished."
Last night, a man was arrested on suspicion of racially aggravated criminal damage over an attack on a mosque in Gillingham.
A window and bookcases containing the Koran at the Canterbury Street site were smashed just hours after the murder.