As the initial rock stress measurement technique for design of large-scale underground cavern, the Compact Conical-ended Borehole Over-coring (CCBO) technique is increasing application performance. The stress calculation model of conventional CCBO technique is based on linear elastic model. Therefore, there is a possibility of obtaining a different value compared with the true initial stress in the anisotropic rock condition. The objective of the work is to establish an initial rock stress measurement method which can be applied to anisotropic rock mass. Especially in this study, the subject is focused on frequently used anisotropic elastic rock model, the transversely isotropic model, which has one plane of transverse isotropy and one axis of rotational symmetry orthogonal to the plane. As the first step of this study, this ordinary theory of the CCBO technique is modified so as to deal with the anisotropy problems. Authors tried the application of the anisotropy theory in black schist which anisotropy is well developed, and compare with the results of isotropy model analysis in this paper.