District of Columbia District Attorney Establishment Act of 2013 - Amends the District of Columbia Home Rule Act to establish the Office of the District Attorney for the District of Columbia (DA).
Specifies the qualifications for the DA, including residence and domicile in the District. Prohibits the DA from engaging directly or indirectly in private practice.
Requires the DA to be elected to a four-year term on a partisan basis. Requires the Mayor to appoint the first DA, to serve until succeeded by an elected one.
States that nothing in this Act shall affect the authority of the Attorney General or the U.S. Attorney for the District to exercise jurisdiction concerning violations of federal laws.