The Israeli military said it was investigating after a unit dropped unauthorised leaflets on a border area in southern Lebanon ordering residents to leave.
Lebanon's state-run national news agency reported that Israel had dropped leaflets ordering residents out of the Wazzani area.
The Israeli military said dropping the leaflets was an unauthorised action by a unit that had not sought appropriate approval, and that there was no evacuation under way.
Tens of thousands of civilians have already fled villages and towns on both sides of the Israel-Lebanon frontier during months of cross-border strikes, since Lebanon's armed Hezbollah movement stepped up attacks alongside the war in Gaza.
Meanwhile, the Israeli military said there was a "high probability" an Israeli air strike was responsible for the deaths of three hostages who were killed in Gaza in November 2023.
"The findings of the investigation suggest a high probability that the three were killed as a result of a byproduct of an IDF airstrike, during the elimination of the Hamas Northern Brigade commander, Ahmed Ghandour, on November 10th, 2023," the military said in a statement.
They were referring to the deaths of captives Corporal Nik Beizer, Sergeant Ron Sherman and Elia Toledano.
Missile fired from Yemen crosses into central Israel
Israeli military said a missile fired from Yemen crossed into central Israel and "fell in an open area".
The army said in a statement that "a surface-to-surface missile was identified crossing into central Israel from the East and fell in an open area. No injuries were reported".
"The missile was fired from Yemen," it added in a subsequent statement.
"The explosive sounds heard in the last few minutes are from the interceptors. The result of the interception is under review."
Yemen's Huthi rebels have been launching attacks against Israel and its interests in what they say is solidarity with Palestinians during the ongoing war between Israel and Hamas in Gaza.
The rebels belong to Iran's so-called "axis of resistance", which includes Tehran-backed militant groups in Iraq, Syria and Lebanon.
Since November, the Huthis have launched a flurry of missile and drone strikes on Israel-linked shipping in the Gulf of Aden and the Red Sea.
And in July, they carried out a drone attack on Tel Aviv that killed an Israeli civilian.
Israeli warplanes bombed the Huthi-controlled Yemeni port of Hodeida in response, with a rebel official vowing at the time to "meet escalation with escalation".
Meanwhile, Israeli Prime Minister Benjamin Netanyahu will travel to New York on 24 September, the first day of the high-level General Debate by world leaders at the annual UN General Assembly, his office has said.
It said Mr Netanyahu is scheduled to stay until 28 September in the United States, which he had visited in July for official talks and a congressional address.