Israel Defense Forces Chief of Staff Lt. Gen. Gadi Eisenkot said on Monday that Israel's enemies will face "severe consequence" if they threaten its security.
Speaking to soldiers during a ceremony in honor of outstanding units, Eisenkot said: "Even beyond our borders, in face of the threats emanating from the north, we stand ready for any challenge.
"As we have proven in the past, we know how to find and hit those who seek us harm. Our enemies know that if they try to undermine the security of Israel, they will face severe consequences," he added.
On Sunday, Nasrallah said that retaliation for Kuntar's death was inevitable, whatever the consequences. "The Israelis should be justifiably worried... They should be worried along the border, inside (Israel) and outside," he said.
"We cannot forgive the shedding of our mujahideen blood by the Zionists ... anywhere in the world," he added.
Israel has welcomed Kuntar's death, but has not confirmed it carried out the air strike that killed him.
Kuntar was jailed in Israel for his part in a 1979 raid in Israel that killed four people when he was a member of a Palestinian militant group. Kuntar was repatriated to Lebanon in 2008 in a prisoner swap with Hezbollah, which he then joined.
Nasrallah for the first time acknowledged that Kuntar had played a key role in creating a "popular resistance" in Syria against what he called Israeli developments in the Syrian Golan Heights.
Hezbollah is fighting on the side of President Bashar Assad in Syria's civil war.
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