Rebels set St Gevorg church in Aleppo's Armenian district on fire last week.
A spokesman for the local Armenian prelacy said that the building had been "reduced to ashes".
The attack came on the same day that a blast near an Armenian district in the capital city of Damascus reportedly killed 10 people and wounded 50.
Nearly 50 Syrian Armenians have reportedly been killed since the start of the conflict in Syria in March 2011.
Many of the country's 80,000 Syrian Armenians have taken refuge in Armenia since fighting between government and opposition forces reached Aleppo in July.