But the Syrian Observatory for Human Rights, a Britain-based monitoring group, said there has been no shelling for a more than a week in the area where Hizbollah said Badreddine was killed, Reuters reported.
If Hizbollah had blamed Israel for his death, the group would have come under pressure to launch a tough retaliation that, in turn, would risk triggering war. Israel and Hizbollah fought a brief but devastating war in 2006.
The incident comes amid apparently rising fatigue experienced by Shia militants in Syria aligned with that country's President, Bashar al-Assad, that are battling his Sunni-led rebellion, analysts say.
In recent weeks, scores of the militants from Iran, Iraq and Hizbollah have been killed by hard-line Sunni groups, notably al-Qaeda-affiliated Jabhat al-Nusra.
Badreddine's slaying by hardline Sunni fighters, if confirmed, would further highlight how the Syrian civil war has become a proxy conflict driven by sectarian divisions.
Saudi Arabia, a Sunni powerhouse, plays an important role in backing the Sunni-led rebellion that is fighting Hizbollah and other pro-government Shia fighters that have loyalties to Iran.
Saudi Arabia's primary enemy is Iran, a Shia nation, and the two countries are locked in a region-wide competition for influence.
"Things will escalate because of this," said Talal Atrissi, a Lebanese analyst who is close to Hizbollah. "I expect that in retaliation for Badreddine's killing, Hizbollah will carry out a number of special operations attacks against Jabhat al-Nusra and Isis." In recent weeks, a shaky ceasefire that took effect in February appears to have intensified battles between pro-government Shia militants and hard-line Sunnis, particularly Jabhat al-Nusra. The al-Qaeda affiliate is not party to the ceasefire, allowing it to carry out more robust assaults against pro-government forces.
Last week, Jabhat al-Nusra fighters attacked a government-held area near the northern city of Aleppo, killing scores of Iranian and apparently Hizbollah fighters. A tally of media reports on the killings by Reuters put the number of dead at as high as 80.
At least 17 of those killed were Iranians, which the news agency said could have been the highest toll in a battle outside the Islamic Republic since its war with Iraq in the 1980s.
Since the start of the Syrian conflict in 2011, dozens of Iranian militants - including generals - have been killed in Syria. Some estimates put the number of Hizbollah dead at well over 1000. Iran and Hizbollah intervened militarily to prop up the Syrian leader, their ally.
Washington Post