Beset by the domestic upheaval and expressions of concern and disapproval in Washington, Netanyahu on Monday paused the overhaul to allow negotiations on a compromise between his extremist coalition and opposition parties.
Israeli media estimated more than 150,000 people attended protests on Saturday, the largest in commercial hub Tel Aviv.
Netanyahu, on trial on corruption charges he denies, says reforms are needed to balance the branches of power. His Likud party and political allies in the far-right have been calling on their political base to stage counter demonstrations.