At the same time, 32% of respondents said law enforcement officers made them fearful or uncomfortable, the poll said, adding that 57% still have trust or sympathy for the police.
The survey was conducted from June 29-30 and involved 1,005 people. The margin of error does not exceed 3.1 percentage points.
France has been on edge since Tuesday, when a teenager was shot dead by a policeman for allegedly disobeying a traffic stop in Nanterre, a suburb of Paris. The officer who pulled the trigger on 17-year-old Nahel M. has been taken into custody on suspicion of voluntary manslaughter, but that has not stopped protesters.
Violent protests have escalated into rioting and looting, prompting authorities in some parts of France to impose partial curfews and limitations on public transport. The French Interior Ministry has reported daily detentions and injuries to police officers.