According to Syrian television on Wednesday, the tankers were smuggling oil from Tayem oil field situated in eastern part of the Arab country.
Syrian television did not reveal the location of the attack, but said terrorists smuggling the consignment were killed in the assault.
Syria has been experiencing unrest since March 2011, and many people, including large numbers of Syrian soldiers and security forces, have been killed in the turmoil.
Damascus says the West and its regional allies, such as Qatar, Saudi Arabia, and Turkey, are supporting the militants.
In an interview recently broadcast on Turkish television, Syrian President Bashar al-Assad said that if the militants take power in Syria, they could destabilize the entire Middle East region for decades.
“If the unrest in Syria leads to the partitioning of the country, or if the terrorist forces take control… the situation will inevitably spill over into neighboring countries and create a domino effect throughout the Middle East and beyond,” he stated.