Special Counsel Transparency Act of 2018 This bill establishes reporting requirements with respect to a special counsel appointed under Department of Justice (DOJ) regulations. Specifically, it establishes these requirements: a special counsel must report periodically on the status of an investigation; a special counsel who is removed from office must report on the status of an investigation, as of the date of dismissal; and DOJ must report on the status of an investigation following the removal of a special counsel.