The IDF remains in its positions in south Lebanon, a spokesperson said.
A ceasefire went into effect at 4 a.m. local time Wednesday morning after Israel's Cabinet approved the U.S.-backed proposal to end the fighting between Israel and Hezbollah after prolonged negotiations.
The Israel Defense Forces continues its intense airstrike and ground campaigns in Gaza, particularly in the north of the devastated Palestinian territory.
Tensions also remain high between Israel and Iran after tit-for-tat long-range strikes in recent months and threats of further military action from both sides.
The Gaza Ministry of Health said Thursday that Israeli strikes killed 33 people and wounded 134 others across the Hamas-run territory in the previous 24 hours.
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The Israel Defense Forces said Thursday morning it fired at "suspects, some with vehicles" arriving in several areas of southern Lebanon.
The IDF did not give information on the identity of the targets but said their presence in the area "constitutes a violation."
There have been sporadic reports of firing in several areas of southern Lebanon since the IDF-Hezbollah ceasefire went into effect early Wednesday morning.
The IDF has warned evacuated citizens of southern Lebanese towns and villages not to return to their homes until told to do so. Around 1.2 million people in Lebanon -- roughly a quarter of its population -- have been displaced by Israeli attacks and evacuation orders.
Israel Defense Forces spokesperson Avichay Adraee again urged south Lebanon residents not to return to their homes in a post to X on Thursday morning.
Adraee listed 10 villages in the south as still off limits to evacuated residents, despite Wednesday's ceasefire.
"The IDF does not intend to target you and therefore you are prohibited at this stage from returning to your homes," he wrote.
Anyone who travels south regardless will be "in danger," Adraee added.
Israeli forces are expected to withdraw from their positions in southern Lebanon in phases during the 60-day ceasefire that came into effect on Wednesday morning.
They will be replaced by Lebanese Armed Forces troops, who will be tasked -- with United Nations Interim Force in Lebanon assistance -- with preventing the return of Hezbollah forces in the area between the Litani River and the Israeli border.
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Hezbollah said it continued its war against Israel for "more than 13 months," and it was "able to achieve victory over the delusional enemy," the militia said in its first statement since the ceasefire was announced.
Throughout the “Israeli ground operation the attempts of the enemy forces to occupy and establish themselves in any of the towns of the first line of the front did not succeed nor did they succeed in establishing a military and security buffer zone as” Israel had hoped it would, Hezbollah said in a statement.
Hezbollah will remain "fully prepared to deal with the Israeli enemy's ambitions" and "will continue to follow the movements and withdrawals of the enemy's forces beyond the borders, and their hands will remain on the trigger, in defense of Lebanon's sovereignty and for the sake of the dignity and honor of its people," Hezbollah said.
