"We will continue. We still have a lot more and we are just at the beginning," Sheikh Hassan Nasrallah said on Sunday in a taped address on Al-Manar television.
Speaking a few hours after a Hezbollah rocket killed eight people in the northern Israeli city of Haifa, he said: "We promise them surprises in [any] confrontation.
"We will use all means. As long as the enemy has no limits, we will have no limits."
'Fighting for Muslims'
Nasrallah said his fighters are "longing" to fight Israeli forces in any ground invasion as he urged Arabs and Muslims worldwide to support Hezbollah, saying it is fighting Israel on their behalf.
"The peoples of the Arab and Islamic world have a historic opportunity to score a defeat against the Zionist enemy ... We are providing the example," he said.
It was Nasrallah's first television appearance since Israeli air strikes destroyed his headquarters in Beirut's southern suburbs on Saturday.
Nasrallah's predecessor, Abbas al-Musawi, was killed in a 1992 Israeli air strike along with his wife and three-year-old daughter.
The five-day-old fighting between Israel and Hezbollah has killed at least 120 Lebanese civilians and dealt a heavy blow to Lebanon's infrastructure, especially in the south.
But Nasrallah sought to boost the morale of his supporters.
"We are still in our full strength and power. We choose the time and place [for the battle]. We still manage our affairs in an accurate manner," he said.