The strike killed Mohammad Reza Zahedi, a top commander in the Iranian Revolutionary Guards Corps (IRGC), according to a report in Reuters, citing a security source in Lebanon.
Two civilians injured in alleged Israeli strikes in the outskirts on Damascus.
This was the second time within 48 hours that the same area was targeted by alleged Israeli airstrikes.
The military reported that the strikes were carried out to assist IDF ground troops operating against terrorist operatives and infrastructure in the area.
An IDF statement Saturday night confirmed that the IDF and Shin Bet had conducted strikes in the area, saying that they had hit Islamic Jihad operatives and terrorist infrastructure.
Salami belonged to Hezbollah's Nasser unit and commanded a number of terrorist attacks against IDF troops, along with civilian and military targets in Israel's north.
Sirens sounded in Arab el Aramsha, Hanita, Har Dov, and the northern city of Kiryat Shmona on Saturday afternoon in another day of Hezbollah rocket fire threatening Israel's North.