The Israel Defense Forces reported around 30 rockets were launched from Lebanon on Sunday evening, though some fell into open areas and no injuries were reported.
The US, UK and France are among several countries urging their citizens to leave Lebanon as heightened tensions in the region spark fears of a widening Middle East conflict.
The televised statement, which reiterated a call for retaliation, said a rocket with a seven-kilogram warhead was used to target the residence of Hamas' political leader.
The group has new weapons and intelligence capabilities that could help it target more critical positions deeper inside Israel in case of an all-out war, it has warned.
South Africa has accused Israel of committing genocide against the Palestinians and pleaded with the court to urgently order a halt to the country's military operation.
How many casualties would warrant a full-blown offensive? Each strike and counterstrike increases the risk of the already catastrophic war in Gaza spilling across the region.
Israel's military has said it has encircled Gaza City, but on Saturday offered a three-hour window for residents trapped by the fighting to flee south.
Following the meeting in Beirut, a brief statement said Hezbollah's leader Hassan Nasrallah agreed with Hamas' Saleh al-Arouri and Islamic Jihad's leader Ziad al-Nakhleh on the next steps.
Denmark, Sweden and Norway joined Australia in further tightening travel advisories for Lebanon and cautioned against travel there until further notice as Hamas and Hezbollah say they bombarded Israel from Lebanon.
Retaliation strikes have levelled buildings in Gaza, while in northern Israel a brief exchange of strikes with Hezbollah raised fears of a broader conflict.
A British court has ordered a London-based company that delivered the ammonium nitrate that exploded in 2020 at Beirut's port to pay compensation to some families of the hundreds of victims.
The spasm of violence in Israel and the West Bank heightened fears of an even more intense surge, with the rare convergence of the holy Muslim month of Ramadan, the Jewish Passover holiday and Easter currently underway.
Ukraine's ambassador to Lebanon has insisted a Syrian ship docked at a Lebanese port is carrying stolen Ukrainian grain and urged Lebanon to block the vessel from leaving.
United in grief and anger, families of the victims and several thousand Lebanese on Wednesday marked one year since the horrific explosion at Beirut's port with a moment of silence and prayers at the foot of the silos that was shredded by the blast on that fateful day.
Anti-government protesters in Lebanon are burning tires to block key roads, releasing dense palls of smoke that rise above the capital of Beirut and other parts of the country.