Canterbury City Council leader Simon Cook is seeking to reassure people following the poisoning of a former Russian spy in the UK.
Cllr Cook says the authority is backing government action following the attack earlier this month, which left Sergei Skripal and his daughter Yulia critically ill in hospital.
Authorities believe they were deliberately poisoned by a nerve agent thought to have been produced in Russia.
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Cllr Cook, who represents Nailbourne ward, said: “Many people have said they are concerned about the security threat posed by Russia, as well as the ongoing threat of terrorism following last year’s atrocities in London and Manchester.
“I can understand their concerns and I would like to reassure residents that their council takes issues such as this very seriously.
“We work closely with the police and other authorities to identify threats and the best ways to minimise them. There is no evidence of any specific threat to Canterbury but I would urge people to remain vigilant and to report anything suspicious to Kent Police.”
More than 250 counter-terrorism police officers are involved in the investigation.
Det Sgt Nick Bailey, who was one of the first on the scene, also remains in hospital although his condition is no longer critical.
The poisoning prompted Prime Minister Theresa May to announce that Russia had “threatened the public safety” of UK citizens and led to international sanctions against Russia.
Cllr Cook said he and his Conservative colleagues support Mrs May’s approach and urged the city’s Labour MP Rosie Duffield to do the same.
He said: “People’s safety is what is important here. Canterbury’s Labour MP has already been forced to apologise after she was called out for accepting money to appear on Russia Today, a channel with close links to the Kremlin.
“Her leader has been luke-warm at best in backing the Government’s efforts to tackle the situation and has been criticised by his own MPs for his stance on the issue.
“We would all welcome our MP’s thoughts on this matter and I look forward to hearing her confirm her support for Mrs May and the Conservative Government in its efforts to keep us all safe.”