Qassem spoke of former Hezbollah leaders, Hassan Nasrallah, and Hashem Safieddine, who were killed in Israeli strikes in September and October.
The terror infrastructure with the explosives was excavated by Hezbollah several years ago, the IDF said, noting that it was at "the heart of the civilian population of a village."
This individual, named Abdel Rahman Muhammad Ibrahim Mahajana, 19, also participated in anti-Israel riots during Operation Guardian of the Walls three years ago.
Three others were wounded in the rocket fire and are in light condition.
Qassem is a veteran figure in the group, having served as Deputy Secretary-General for the Lebanon-based terrorist organization for over three decades.
This step has been previously avoided due to legal challenges and possible international ramifications.
Georges Ibrahim Abdallah, a Lebanese terrorist, has served 40 years for the killing of two diplomats.
The massive rise in lawlessness in the Negev has also fueled the rise in terror attacks.
A woman in her 50s sustained serious wounds, and two aged 21 and 13, respectively, sustained light wounds from smoke inhalation.
The driver has been apprehended and emergency services are at the scene treating the wounded.