Sayeda Zainab, a stronghold of Hezbollah and the site of a major Shi’ite shrine, has been the target of previous strikes.
Hezbollah's intelligence headquarters has a branch in Syria that contains an intelligence gathering, coordination, and assessment network.
The attack reportedly took place during a meeting between senior Iranian and Hezbollah officials.
Syrian state television earlier said that one of its presenters was killed in an Israeli strike on Damascus.
Luna al-Shibl, Syrian President Assad's adviser, died after a suspected deliberate car accident in Damascus, amid political intrigues and military reforms in Syria.
The IDF carried out artillery strikes against targets in Syria, according to a Damascus correspondent for the Hezbollah-affiliated Al-Mayadeen new site, who reported Monday afternoon.
Initial reports indicated that several people were injured in the alleged Israeli airstrikes.