Lebanese anti-aircraft units fired at Israeli jets conducting a sortie over southern Lebanon on Thursday, the London-based al-Sharq al-Awatan daily reported on Friday.
Following the sorties the Lebanese army was placed on high alert.
Later on Thursday Hizbullah Secretary-General Sheik Hassan Nasrallah lashed out at the Lebanese government for failing to prevent the IDF's violation of the country's sovereignty.
"It is a shame that the government, which claims that it promotes Lebanese independence, remains silent in the face of these aerial violations," said Nasrallah, adding that Hizbullah is stronger today than ever while Israel has only grown weaker.
Security officials in Lebanon said earlier this week that troops opened fire at Israeli fighter jets flying east of the village of Marjayoun, located in the south.
According to the report, the army targeted the low-flying aircraft with machine guns and assault rifles, there were no reports regarding any damage sustained to the IDF planes.
The IDF has not commented on the reports and routinely does not confirm or deny its activities over Lebanon.