Murray was a comedy writer with a sense of humor that leaned towards the outrageous. He began in radio, joining the Red Skelton writing staff in 1941. Following an interruption by World War II, the staff and star reassembled and continued the series. Along with writers Jack Douglas and Benedict Freedman, he made the move to Skelton's new TV series from 1951-1953. After falling ratings, he and the staff were fired. He went on to write for Jimmy Durante before landing regular work on McHale's Navy. Murray achieved later success with scripts for Chico and the Man and Good Times. Together with his former Skelton partner Benedict Freeman, he branched out into screenplays, including The Atomic Kid and 1961's Everything's Ducky.