"This is not true. Nobody from Hezbollah was hurt," the source said, commenting on the reports.
The remark comes after Syrian state news agency SANA reported earlier in the day that the Israeli air force had conducted a missile attack on Damascus during the night. Though most of the missiles were shot down, three Syrian servicemen were injured and an ammunition depot was damaged.
Several media outlets reported that the airstrike allegedly hit the Iranian plane with the high-ranked Hezbollah members.
Israel regularly conducts airstrikes on Syrian territory, claiming that it targets Iranian military depots and arms supplies prepared for the Lebanon-based militant group Hezbollah.
Hezbollah has been supporting the Syrian government in its civil war since 2012. Hezbollah Secretary General Hassan Nasrallah has repeatedly said that Hezbollah troops came to Syria after receiving an invitation to do so from Damascus and were ready to leave the country as soon as the government asked.