A method to determine elastic constants for transversely isotropic rock using a single uniaxial compression test was proposed by Kim(1995). However, some problems were found when this method was applied. We derived two different equations in determination of elastic constants using V$sub$12/ and V$sub$21/ and performed uniaxial compression tests for two specimens whose angles between transversely isotropic plane and horizontal plane are 30$^{circ}C$ and 65$^{circ}C$. The anisotropic elastic constants should be calculated with different equations depend on the angle. If the anisotropic angle is lower than 45$^{circ}$, V$sub$21/ may be used. However, if the anisotropic angle is higher than 45$^{circ}$, V$sub$12/ may be used.