The mixed mode problem (ⅠandⅡ) of a peny-shaped interface cracks in remote tension loading on a hi-material cylinder is studied using finite element method. The energy release rates for the tip of the crack in the interface were calibrated for several different moduli combinations and crack ratios using the modified crack closure integral technique and J-integral method, with numerical results obtained from a commercial finite element program. Numerical results show that non-dimensional value of (equation omitted) increases as the crack size or moduli ratio increases Meanwhile, non-dimensional value (equation omitted) decreases as the moduli ratio increases, but above the moduli ratio of 3 its value decreases then increases again as the crack size increases. Reliability of the numerical analysis in this study was acquired with comparison to an analytical solution for the pony-shaped interface crack in an infinite medium.