The actual ground vibrations due to NATM blasting and foundation blasting at Seoul (weathered rock), Pusan(weathered rock) and Youngkwang(quartz andesite) have been measured, and the data were analyzed using reliability index(

) to determinate the maximum charge weight per delay within a given vibration criteria and the blast vibration equation. In this study, the blast vibration equations and the maximum allowable charge weight was suggested with the division of ultimate limit state(

), serviceability limit state(

) and safety state(

) respectively. The reliability index 0 means 50% data line obtained by the least squares best-fit line. The reliability index 1.28 and 3 represent bounds below 90%, and 99.9% of the data, respectively. The vibration constant K for ultimate limit state, the serviceability limit state and the safety state was evaluated to 315, 385, 503(Seoul) 407, 580, 930(Pusan) and 1132, 1654, 2750(Youngkwang), and the attenuation coefficients of vibrations due to the blasts were -1.98(Seoul), -2.04(Pusan), -2.23 (Youngkwang) respectively. From this study, inference and analysis methods of vibration equations using realibility theory was estabilished.