The deliberate fire happened on this afternoon, Monday, January 30, at St Patrick’s church on Donegall Street.
When firefighters arrived they discovered a curtain on fire.
Police say some smoke damage was caused to the church.
Bishop Noel Treanor “deeply shocked and appalled by the suspected arson attack” which he said was being investigated by police.
Bishop Treanor added: “This criminal action is a violation of the sanctity of the church and an attack upon the local community that has caused significant damage to the property and left the local congregation distressed and deeply upset,” he said.
“Places of worship hold deep significance for the entire community and for their congregations and they should not be targeted.
He paid tribute to the emergency services “who acted quickly to bring the fire under control and have prevented further damage to this most beloved place of worship in the heart of the city of Belfast”.
Anyone with information about the attack is asked to contact police in north Belfast on the 101 number.