Lieutenant Colonel Peter Lerner said the army was also deploying hundreds more soldiers in Hebron, in the "most substantial steps on the ground" since 2014, after two Israelis were killed in the region in separate attacks over the past two days.
The announcement came hours after suspected Palestinian gunmen shot at the car of an Israeli family south of Hebron, killing the father and wounding three others, and a day after a 13-year-old girl was stabbed to death in her home in the nearby settlement of Kiryat Arba.
At least 214 Palestinians, 34 Israelis, two Americans, an Eritrean and a Sudanese have been killed since the violence erupted in October.
Most of the Palestinians killed were carrying out knife, gun or car-ramming attacks, Israeli authorities say.