District of Columbia Court Employees Whistleblower Protection Act of 1999 (HR 858, currently pending with the House) -- Amends the District of Columbia Code to extend coverage under the whistleblower protection provisions of the District of Columbia Comprehensive Personnel Act of 1978 to personnel of the District of Columbia courts. Authorizes such personnel to institute a civil action in the Superior Court of the District of Columbia or the U.S. District Court for the District of Columbia. The bill, with a substitute amendment offered by Senator Voinovich, was ordered reported by the Governmental Affairs Committee on May 20, 1999 and approved by the Senate on October 8, 1999. The House approved its version on March 16, 1999.