Islamic Jihad responded that it would see any attack on its leadership as a declaration of war. The batteries were deployed as part of the IDF's reinforcement efforts following the Palestinian Islamic Jihad's threats in response to the terror tunnel strike in Gaza.
The Iranian-backed group has threatened to carry out attacks after the tunnel was demolished last month, killing a dozen militants.
While the army has not called up reservists, the IDF also has upped its readiness along the Gaza border, forbidding farmers and other civilians from approaching close to the Hamas-controlled enclave, and closing down three tourists site along the Strip.
On Friday, the Israeli occupation announced that it reinforced its military existence in the peripheries of the Gaza Strip and it had deployed elite forces there.
The IDF arrested PIJ commander Tariq Qa'adan on Monday in the Palestinian town of Arrabeh.
Referring to the Israeli operation on October 30, he said that Israel "destroyed a terror tunnel in Israeli sovereign territory".
The group said it would not back down on its "right" to retaliate against Israel for the tunnel explosion, which led to the deaths of 12 of its members, including two commanders, as well as two members of Hamas's military wing. Any attacks by the Islamic Jihad will elicit a strong response, not only against them, but also against Hamas.
Nikolay Mladenov, UN special coordinator for the Middle East peace process, wrote on Twitter on Sunday: "The reckless actions and statements of militants in Gaza risk a unsafe escalation".
Almost two weeks after the Israeli army blew up a tunnel that ran between the southern Gaza Strip and Israel, killing 12 Palestinian fighters from the Islamic Jihad and Hamas movements, Israel has continued to exchange threats with the groups, saying that it will "respond with force" to any retaliation from Gaza. "The PA must resume full responsibility in Gaza".