Bright was editor of Language, the journal of the Linguistic Society of America, from 1966 to 1988 and of Language in Society from 1993 to 1999.
Bright was responsible for overseeing the publication of Language, a journal dedicated to linguistic research, during his tenure as editor from 1966 to 1988. He also served as editor of Language in Society, another prominent linguistics journal, from 1993 to 1999.