The two blasts in the Algerian capital occurred almost simultaneously with the first exploding near the Supreme Court building, while the second went off in the prestigious district of Hydra near the UNHCR office.
The first blast mostly killed and injured students, who were approaching the court building in a bus, and according to preliminary information, the attack was carried out by a suicide car bomber.
Another car bomb near the UN refugee agency's office was detonated close to a fuel tanker, which police believe was planned by the terrorists to achieve maximum destruction.
So far no one has claimed responsibility for the terrorist attacks.
Algeria was engulfed in violence 1992-98 after the military scrapped elections which the Islamic Salvation Front had been expected to win. Over 100,000 people died during the subsequent insurgency.
In 2005, tensions eased slightly after the government issued the Peace and National Reconciliation Charter, releasing more than 2,000 former Islamist guerrillas under an amnesty designed to put an end to the conflict.