The attack at the two-story Baghdad headquarters of the Wolf Brigade followed weeks of accusations against the Shiite Muslim-dominated force by Sunni Arab leaders, who accuse it of kidnapping and killing Sunnis, including clerics.
Jabr said the attacker was a former Wolf Brigade member who was targeting the commando force's commander, Brig. Mohammed al-Quraishi.
"Today's attack does not constitute an infiltration of the police forces," Jabr said. "The only thing left of the bomber was his head and feet."