CBS News was located on the third floor of WTOP's studios at 40th and Brandywine in northwest Washington, D.C. Mudd quickly came to the attention of CBS News and moved "downstairs" to join the Washington bureau on May 31, 1961. For most of his career at CBS, Mudd was a Congressional correspondent. Mudd was also the anchor of the Saturday edition of "CBS Evening News" and frequently substituted on the weekday and weeknight broadcasts when regular anchormen Douglas Edwards and Walter Cronkite were on vacation or working on special assignments. During the Civil Rights Movement, Mudd anchored the August 28, 1963 coverage of the March on Washington for Jobs and Freedom for CBS.