"In the past few hours, the IDF (Israel's military) has hit military targets in southern Syria, including command centers and several locations where weapons were found," the military says in a statement.
Attacks are also reported to have been carried out outside Damascus.
According to the British-based Syrian Observatory for Human Rights (SOHR), two people have been killed by Israeli air strikes against a military position just south of the capital.
AFP journalists report hearing loud explosions and seeing fighter jets flying over Damascus.