"The brutal killing of Fr Jacques Hamel as he held a church service has sent shock waves throughout the world," he said here.
Two attackers yesterday slit the throat of the 86-year-old priest celebrating Mass in a church in France, killing him and gravely injuring one of the worshippers present, before being shot dead by police.
Alencherry said the incident occurred as France was already reeling under the killing of 84 people in Nice this month and a string of other deadly attacks which claimed several lives.
"It should be seen seriously that hectic activities are on to wean away people who follow Christian faith, radicalise them and inspire them to join anti-national activities," he said.
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His statement assumes significance in view of reports of alleged forcible conversion to Islam at the behest of terror outfit Islamic State.
Some Keralite Christian youths, including a girl Merin Jacob from Kochi, had converted to Islam before they went missing in Middle East.
The senior priest also urged the government to step up efforts to ensure the release of a Keralite priest, Tom Uzhunnalil, from the captivity of extremists in Yemen.