The Directorate General for National Security said 112 law enforcement officers were injured, according to the TSA news website. In the capital Algiers, insignificant damage to property was reported.
Algerians have been angered by Bouteflika's announcement last month he would run in the April 18 presidential election, despite his pledge to hold a snap vote in case of his re-election.
The 82-year-old has ruled the North African country for two decades. He has been rarely seen in public since a stroke in 2013 left him paralyzed and wheelchair-bound.