The group's Al-Manar TV says Sunday that Kantar was killed in the strike on a residential building in the Damascus suburb of Jaramana.
Kantar was imprisoned in 1979 in Israel after he was convicted of murder in an attack that left an Israeli policeman, a father and his two children dead.
Kantar and four Hezbollah guerrillas were freed in 2008 in exchange for the bodies of two Israeli soldiers captured by Hezbollah in 2006. Their capture sparked a 34-day war between Israel and Hezbollah.
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