Russia's top investigator, Alexander Bastrykin, ordered the investigation as a result of violence at an event in the Ural Mountains, RIA Novosti reported Monday.
About 30 people were injured when about 150 men armed with clubs and guns with rubber bullets attacked police and spectators at the Tornado-2010 rock fest in Miass on Aug. 29, the report said.
"The Investigative Committee's chief (Bastrykin) ordered to launch a criminal case against the police officers who failed to ensure proper security at the Tornado festival," spokesman Vladimir Markin said.
Concert organizers said proper security was provided for the festival but they were unprepared for such an attack.
About 6,000 people attended the festival.
The attack might have occurred as a result of political differences, officials said.
The event's organizer, Valikhan Turgumbayev, is running for office in a legislative election and some said he used the festival to campaign.