"Our anti-aircraft systems reacted and shot down one of the planes in the occupied territories. Another plane was also hit, the rest flew away," the army command said in a statement obtained by Sputnik.
The Syrian Army said the Israeli Air Force had targeted government troops near Palmyra.
Earlier in the day, the Israeli military told Sputnik that its combat planes were targeted by missiles after they had attacked targets in Syria. However, the incident allegedly did not result in any damages or casualties on the Israeli side, according to the source.
According to Israeli Channel 10, Israeli planes were targeted by the Syrian government forces using S-200 surface-to-air missile systems, also known as SA-5.
After the statement by the Syrian Army, Israeli military reiterated that that none of its planes had been damaged.
Last month, it was reported that Israeli military aircraft conducted an airstrike on the Syrian government forces stationed in the western countryside of Damascus near the Lebanese border.
Syria says Israel and its Western and regional allies are aiding Takfiri militant groups operating inside the Arab country. Moreover, the Syrian army has repeatedly seized huge quantities of Israeli-made weapons and advanced military equipment from the foreign-backed militants inside Syria.