Mail Traffic Deaths Reporting Act This bill requires the U.S. Postal Service to issue regulations to mandate collecting, tracking, and publicly reporting information related to deaths and injuries resulting from traffic crashes involving vehicles transporting mail. The bill also requires (1) Postal Service employees and contractors to report within three days any traffic crash involving a vehicle used in the transportation of mail and resulting in injury or death, (2) the Postal Service to maintain an internal database that includes comprehensive information related to such injuries and deaths, and (3) the Postal Service to provide an annual report to the public summarizing such injuries and deaths.