"The shura council of al-Qaida in Iraq unanimously agreed on Sheik Abu Hamza al Muhajir to be a successor to Sheik Abu Musab al Zarqawi," said a statement on a Web site the group often uses to issue statements.
"Sheik Abu Hamza is a pious brother with a jihad track record and a solid scholarly background. We ask God to bless him and to help him finish what Sheik Abu Musab has started," the statement said.
The Jordanian-born Zarqawi was killed when a U.S. air strike dropped two 500-pound bombs on a house where he was hiding. Five of his aides also died in the blast.
Sky News said Zarqawi gave away his whereabouts in a recent video, when intelligence agents were able to identify the desert and shrubs in the background.
Exploding whale video goes viral on Internet
Kate Moss Playboy shoot is classic Playboy, classic Kate