D.C. Code § 24-201.26
All prisoners convicted in the District of Columbia for any offense, including violations of municipal regulations and ordinances and acts of Congress in the nature of municipal regulations and ordinances, shall be committed, for their terms of imprisonment, and to such types of institutions as the court may direct, to the custody of the Attorney General of the United States or his authorized representative, who shall designate the places of confinements where the sentences of all such persons shall be served. The Attorney General may designate any available, suitable, and appropriate institutions, whether maintained by the District of Columbia government, the federal government, or otherwise, or whether within or without the District of Columbia. The Attorney General is also authorized to order the transfer of any such person from one institution to another if, in his judgment, it shall be for the well-being of the prisoner, or relieve overcrowding or unhealthful conditions in the institution where such prisoner is confined, or for other reasons.
D.C. Code § 24-201.26