Gang Elimination Act of 2006 - Directs the Attorney General to report to Congress on a national strategy to eliminate the illegal operations of National Threat Drug Gangs (i.e., the top three international drug gangs that present the greatest threat to law and order in the United States). Sets forth criteria for the Attorney General to consider in identifying a National Threat Drug Gang, including (1) ties to international terrorist organizations or state-sponsored terrorism; (2) the volume of controlled substances imported or distributed by such gangs; and (3) the threat to children and schools in the United States.