The Christian body also charged the United Nations, UN to devise ways of ending the menace of terrorism across the world.
The President of CAN, Rev. Samson Ayokunle, made this known in a statement by Pastor Adebayo Oladeji, the Special Assistant, Media and Communications to the CAN president, on Tuesday in Abuja.
A wave of bombings across Sri Lanka on Sunday killed at least 321 people and injured hundreds more, leading to the arrest about 40 suspects.
Sri Lanka has also declared a state of emergency, with Tuesday was declared a national day of mourning.
Ayokunle said CAN was standing with the government and people of Sri Lanka.