Two blasts in
A caller claiming to represent al-Qaeda in the
There has been no independent verification of the claim.
Prime Minister Abdelaziz Belkhadem, who was unharmed, called the attacks a "cowardly and criminal act".
The official APS agency, quoting the Algerian authorities, said at least 12 people were killed and 118 injured in the attack on the government building and 11 people were killed and 44 injured in the second attack, on a police station in the eastern district of Bab Ezzouar.
'Cowardice and betrayal'
The violence in
Violent attacks have been increasing in
Al-Jazeera TV said this was the group that had claimed responsibility for Wednesday's violence.
BBC Arab Affairs analyst Magdi Abdelhadi says many analysts will link the surge in violence with the ambitions of the Algerian hardliner organization to spread its campaign to neighboring countries.
The city centre explosion was so loud it could be heard up to 10km (six miles) away, residents said.
Government employees were injured by flying glass and debris, which spread up to 300m (yards) from the site of the blasts.
Ambulances went to the scene and police blocked entry to the prime minister's office, which also houses the offices of the interior minister.
Speaking on Algerian radio, Mr Belkhadem denounced the bombings, which come as the government says it is working towards national reconciliation.
"This is a crime, a cowardly act," Mr Belkhadem said.
Alarm bells
BBC analyst says the attacks are a serious blow for the Algerian authorities which have for years fought Islamist militants. Despite an amnesty announced two years ago, the violence in
The latest scenes of blood on the streets of
Magdi Abdelhadi says the specter of a resurgent al-Qaeda operating in North Africa, close to
He says that like in other Arab states, the authorities have used the threat of terror in the past to curb civil and political freedoms.
Photo caption
Fire in