The bombings come the day after a suicide bombing near a police training school in a neighboring region killed at least 43 people.
The Interior Ministry called the twin attacks in Bouira a "terrorist attack" and said 31 other people were wounded, CNN reported.
No group has claimed responsibility for the bombings, The New York Times reported.
The bomb on Tuesday targeted a police training school at Issers, east of Algiers. All but one of the dead were young male civilians waiting outside of the police academy to take an entrance test, the Times said. Of the injured, 32 were civilians and 13 police, the military said.
The Algerian government has said that the attacks were retaliation to the country's counter-terrorist campaign.
"(These) terrorist gangs are seeking through attacks against civilians to loosen the net closing around them as the security forces drive them to the wall," Algerian Interior Minister Yazid Zerhouni said after the Tuesday bombings.