District of Columbia Hatch Act Reform Act of 2006 - Amends federal law commonly referred to as the "Hatch Act" (concerning political activities of public employees) to: (1) include the District of Columbia within the definition of "State" with respect to political activities concerning certain state and local employees; and (2) remove provisions specifically applicable to employees of government of the District of Columbia. Makes such amendments effective on the date a law is enacted by the District of Columbia after the enactment of this Act which places restrictions on political activities of employees of the District of Columbia government and which applies to actions occurring on or after such date.