Deputy Assistant Commissioner Dean Haydon from the Metropolitan Police said: "a number of churches were targeted during the attacks but we stand together with communities of all faiths, and we will continue to work with our communities and our partners to counter the threat no matter where it comes from."
The police are advising UK churches, cathedrals and other places of worship to carry out risk assessments and develop emergency plans.
The Government and the police have developed an online training package called 'ACT (Action Counters Terrorism) Awareness eLearning' which builds on the anti-terrorism slogan "Run. Hide. Tell."
Police say say the online course offers practical advice for churches and identifies some simple steps which could help keep congregations safe.
Dean Haydon, said the authorities rely on a combination of intelligence alongside information from the public to protect people.
"Together with our intelligence partners we continually monitor the varied threats we face, including to and around places of worship and specific communities across the country, to ensure we have the most appropriate protective security measures in place to keep people safe.
"We stand together with Sri Lankan communities and all those who have been affected and left shocked and horrified by these attacks in Sri Lanka."
The police are keen for people to any suspicious behaviour or activity to the confidential Anti-Terrorist Hotline on 0800 789 321 but to alwasy call 999 in an emergency.
"Officers across the UK regularly engage with communities of all faiths, giving advice on how people and places can protect themselves and this work will continue."
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