The official said on Thursday that the Israeli warplanes struck the base near the coastal city of Latakia, Reuters reported.
Neither Israel nor Syria have commented on the report.
Israel has carried out strikes on Syria several times this year. Damascus says the attacks were aimed at helping the foreign-baked militants fighting against the government of President Bashar al-Assad.
On January 30, the Syrian army said two people were killed and five others injured in an Israeli airstrike on a research center in Jamraya, near Damascus.
Syria has been gripped by deadly unrest since 2011. According to reports, the Western powers and their regional allies -- especially Qatar, Saudi Arabia, and Turkey -- are supporting the militants operating inside Syria.
According to the United Nations, more than 100,000 people have been killed and millions displaced in the violence.
On October 7, the UN said over four million other Syrians will be forced out of their homes in 2014 due to the escalating conflict in the country.
Two million Syrians are expected to take refuge outside the country while another 2.25 million are predicted to be internally displaced next year.