The purpose of this study is to find out what kind of difficulties teachers face in the management of the elementary gifted institutions in the rural area of Chungbuk province. In this study, rural area was defined that the area where gifted education is difficult to access due to geographical accessibility or where gifted education service is restricted. The participants of the this study were three elementary gifted teachers who manage elementary gifted education institutions and is teaching science to disadvantaged gifted students. We collected data about the difficulties and support needs for the management of the gifted institutions in the rural area through the questionnaire and the interview. The results of this study are as follows. First, the common difficulty that teachers expressed was the lack of parental attention and awareness of gifted education. Second, the teachers who participated in this study perceived different difficulties according to their area, experience, and environment. Teacher A is the lack of awareness of the managers, teacher B is the difficulty of student selection, teacher C is the most difficult factor in teacher quality management. This difference in perceptions also led to differences in the support improvements required by gifted class teachers in the rural area. Third, the three teachers commonly referred to difficulties to access due to geographical accessibility, and demanded the integrated management of the gifted class in the rural area and the support for the expansion of the class.