The ban refers to the purchase, import and transport of oil and petroleum products from Syria, and providing financial services for such transactions is not allowed.
INA said it would continue to closely follow developments in Syria.
The products that INA produces in Syria are not exported to other countries, according to sources in INA.
Large-scale protests against the rule of Bashar al-Assad began six months ago, and his regime has been trying to put down the revolt of the Opposition that insists on the democratisation of the country.
INA is conducting exploration and manufacturing activities in the Hayan and Aphamia blocks. The Crosco company, a member of the INA group, is working for INA and other partners at several locations in Syria.