Promoting National Service and Reducing Unemployment Act This bill provides FY2019 supplemental appropriations to the Corporation for National and Community Service (CNCS) for: Operating Expenses, Salaries and Expenses, and the Office of Inspector General. The CNCS must use the funds in a manner that: (1) increases to 500,000 the number of national service positions approved under specified provisions of the National and Community Service Act of 1990, and (2) gives preference to programs which propose to use full-time national service positions.