The 135th Delaware General Assembly was a meeting of the legislative branch of the states government, consisting of the Delaware Senate and the Delaware House of Representatives. Elections were held the first Tuesday after November 1 and terms began in Dover on the first Tuesday in January. This date was January 3, 1989, which was two weeks before the beginning of the fifth administrative year of Republican Governor Michael N. Castle from New Castle County and the first year for Republican Lieutenant Governor Dale E. Wolf, also from New Castle County.