The group claiming responsibility for the bomb attacks in Algeria also conducted the bombings in Casablanca, Morocco a day ago, according to a website.
The Al Qaeda Organisation in the Islamic Maghreb are stating the three suspected suicide bombers came from their group.
Moroccan police are said to be stepping up the hunt for around 10 more militants, thought to be ready to blow themselves up.
They are all thought to be in hiding in Casablanca, the scene of yesterday’s police raid in which an officer was killed in the blasts and a fourth man shot dead.
Officials state that one of the three bombers is the brother of Abdelfattah Raydi, who was believed to have led a major militant cell, before he killed himself at an Internet cafe on March 11.
Suicide bombers killed over 40 people in Casablanca in 2003.