Syrian state media said only material damage was caused by the airstrikes.
The attacks on an IRGC operational headquarters destroyed the building, local media reported.
Syrian air defenses were activated in the Damascus area during the strikes.
Three security sources and Iranian state media said an Israeli air strike outside Damascus on Monday killed Sayyed Razi Mousavi.
Iranian state-owned media confirmed the death of IRGC commander Seyed Razi Mousavi, identified as "a senior advisor" in Syria.
Jordan strikes Iran-backed drug smugglers in Syria as part of counter-narcotics operations.
Ambulances reportedly rushed to the area shortly after the strikes.
Hezbollah's efforts to establish terrorist infrastructure near the Syrian-Israeli border are also as the "Golan File."
Rocket and drone infiltration alerts sounded in northern Israel shortly after the reported airstrike.
Alleged Israeli airstrikes reportedly targeted several sites used by Iranian militias, including weapons storage and air defense sites.