France has condemned the rocket fire from Lebanese territory into Israel, but called on Israel to display "restraint" as it launched strikes in response.

Hezbollah denied firing rockets at Israel on Saturday, as Israel struck southern Lebanon in response to three rockets it said were launched from across the border.

Israel carried out a second wave of airstrikes in Lebanon on Saturday evening, including in the southern city of Tyre and the Bekaa region, in response to three rockets that were fired by unknown individuals from Lebanon at north Israel.

The Israeli strike on Tyre killed one person and wounded seven others, according to Lebanon's health ministry.

Israel launched at least 18 air strikes on at least 11 areas across south Lebanon on Saturday after intercepting cross-border rocket fire, with Lebanese state media reporting two people killed and eight wounded in the southern town of Touline.

Israel's Prime Minister's office said it instructed the army to act forcefully against dozens of targets in Lebanon, adding: “Israel will not allow any harm to its citizens and sovereignty." Israel's army said carrier out strikes on dozens of alleged Hezbollah targets in south Lebanon.

President Joseph Aoun on Saturday condemned “the attempts to drag Lebanon anew into the cycle of violence,” after Israel said it intercepted three rockets fired from south Lebanon at north Israel.

Contacts are underway at the highest levels with the parties concerned with the ceasefire agreement to prevent a deterioration of the situation, after rockets were fired at Israel from south Lebanon, Lebanese presidency sources told Saudi Arabia’s Asharq news outlet.

The mayor of the northern Israeli settlement of Metula, David Azoulai, accused the government and the Israeli army's Northern Command of trying to "normalize" a situation of occasional rocket fire from Lebanon, after three rockets were fired from south Lebanon on Saturday morning.

“We won’t allow them to normalize this. I call on Prime Minister Benjamin Netanyahu and of course IDF Northern Command head Maj. Gen. Ori Gordin to act offensively and make it so that not one bullet is fired ever again at northern communities,” he told the Ynet news site.

Israeli army chief Eyal Zamir held a situational assessment Saturday over the rocket fire from Lebanon that targeted the northern settlement of Metula in the morning, the Israeli army said.

The army added that it holds the Lebanese government responsible for the ceasefire violation and that it will respond to the attack "severely."

Kiryat Shmona Mayor Avichai Stern on Saturday asked the Israeli military’s Northern Command chief if he still believes it is safe for residents to return to the north after three rockets were fired from Lebanon at Metula earlier in the morning.

“I have just one question for the head of the IDF’s Northern Command, Maj. Gen. Ori Gordin, who said there is nothing preventing a return to the north — do you still think that?” Stern said in a statement cited by Israeli media outlets.

Prime Minister Nawaf Salam called Defense Minister Michel Menassa on Saturday, after three rockets were fired at Israel from south Lebanon, stressing “the need to take all the necessary security and military measures to assert that the state alone takes the decisions of war and peace.”