Churches and other sections of the Christian community in Britain have been urged to be "alert" following the murder of an elderly priest in France.
There is no specific intelligence about an attack, but police have told places of worship to "review their security arrangements as a precaution".
Two supporters of the so-called Islamic State group killed Father Jacques Hamel at a Normandy church on Tuesday.
Deputy Assistant Commissioner Neil Basu said: "As we have seen, Daesh (another name for IS) and other terrorist groups have targeted Christian as well as Jewish and other faith groups in the West and beyond.
"Following recent events in France, we are reiterating our protective security advice to Christian places of worship and have circulated specific advice today."
Muslim leaders say they don't want to "taint" Islam by burying Adel Kermiche who slit the throat of 85-year-old priest Father Jacques Hamel.
Islamic State's Amaq news agency released footage showing French attacker Abdel-Malik Nabir Petitjean urging Muslims to destroy the country.
The self-styled Islamic State has released a video of the French church attackers pledging allegiance to the group.