The purpose of this study is to analyze the state of science teaching anxiety of elementary teachers for the scientifically gifted according to their personal variables such as gender, career in education and gifted education, training course for gifted education, participation in meeting related to gifted education. The subjects in this study were 64 elementary school teachers who were in charge of science gifted education. The instrument to assess their science teaching anxiety was Westerback's S-STAI, modified in this study to be suitable for science gifted education. The collected data were analyzed by the statistical package SPSS. The findings of the study were as follows: The teachers for gifted felt more teaching anxiety in gifted classes than in normal classes on the whole. There were statistically significant differences in their personal variables such as gender, career in education experience, experience of taking gifted education training courses, and participation in meeting related to gifted education. Implications related to reduce the gifted education teachers' teaching anxiety were discussed in depth.