N.C. Gen. Stat. § 163-10

Any vacancy occurring in the office of district attorney for causes other than expiration of term shall be filled by appointment of the Governor. An appointee shall hold his place until the next election for members of the General Assembly that is held more than 60 days after the vacancy occurs, at which time an election shall be held to fill the unexpired term of the office: Provided, that when the unexpired term of the office in which the vacancy has occurred expires on the first day of January succeeding the next election for members of the General Assembly, the Governor shall appoint to fill that vacancy for the unexpired term of the office.