It said one of the terrorists "started off by being part of a group that attempted to incite people to protest, and his job was to transport protesters from mosques to squares in the town of al-Qseir."
SANA reported that on Monday, authorities "clashed with an armed terrorist group" on the outskirts of Aleppo.
The United Nations says more than 10,000 people, mostly civilians, have been killed in the violence in Syria. Opposition groups give an even higher figure.
The violence erupted in March 2011 when Syrian forces launched a brutal crackdown on anti-government demonstrations, part of the Arab Spring that swept through several countries.
While members of the U.N. Security Council, which includes the United States, have called for an end to the violence and for al-Assad to step aside, efforts to adopt a resolution that would allow for aid to the rebels have been blocked by Russia and China, key Syrian trade partners.
Russia and China are strongly opposed to armed intervention, saying the outcome in Syria should be decided by its people.