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 Maan reported.
An army statement said the incidents all took place near the southern Lebanese town of Marjayoun, about five km from Israel's northern border.
On Monday the army dismantled two rockets aimed towards Israel, which bombed the Gaza Strip for eight days until a Wednesday evening truce.
Southern Lebanon is a stronghold of the Shiite movement Hezbollah, which fought a 34-day war with Israel six years ago, as well as several much smaller Palestinian militant groups. Hezbollah's leader Sayyed Hassan Nasrallah has not threatened military action against Israel over the Gaza conflict.
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.
The Israeli-Lebanese border has been largely quiet in recent years, though rockets were fired over the border last November and December, with only one casualty reported.