The Lebanese army disabled a rocket on Thursday which was primed to be fired into northern Israel and said two others were launched late on Wednesday but fell short of the border.
An army statement said the incidents all took place near the southern Lebanese town of Marjayoun, about five km (three miles) from Israel's northern border.
On Monday the army dismantled two rockets aimed towards Israel, that came under rocket fire during an eight-day conflict with the Islamist Hamas movement ruling the Gaza Strip. The two sides agreed to a cease-fire on Wednesday.
On Wednesday, explosions heard near the Lebanese border raised concern that mortar shells were fired into the northern Israeli border town of Metulla, but the IDF said no rockets fired from Lebanon were fired into Israel.
In two separate incidents last week, an IDF soldier and an IDF vehicle were struck by stray gunfire coming from Syria near the border fence in the Golan Heights. IDF Spokesman Brig.-Gen. Yoav Mordechai told Army Radio that Israel does not intend to "heat up the area" and get involved in the Syrian civil war.
Security sources said one of the 107 millimeter rockets fired on Wednesday fell about 500 meters inside Lebanese territory and the other landed right on the border. There were no reports of casualties.