Drug Cartel Terrorist Designation Act This bill directs the Department of State to designate the Reynosa/Los Metros faction of the Gulf Cartel and the Cartel Del Noreste faction of Los Zetas as foreign terrorist organizations and to submit a detailed report on those drug cartels and any other cartels it may identify. Based on this report, the State Department must designate as a foreign terrorist organization any such identified cartel (or faction thereof) that meets certain criteria for designation as a foreign terrorist organization.