The accurate prediction of blasting vibration plays an important role in the evaluation of blasting negative effects and the optimization of blasting design. On the premise of clarifying the influencing factors of blasting vibration propagation, combined with dimensional analysis, based on the traditional Sadovsky formula, through the introduction of horizontal distance and elevation difference factor, the attenuation law of blasting vibration under mountainous terrain conditions is studied, and the blasting vibration prediction formula reflecting mountainous terrain conditions is established. Combined with the measured vibration data of underground powerhouse excavation of Xiamen pumped storage power station in Fujian Province, when the elevation between the measuring point and the explosion source changes greatly, the prediction errors of horizontal and vertical vibration by using the traditional Sadovsky formula are large, about16 ~ 25%respectively. The prediction errors of vibration prediction formula based on dimensional analysis are small, about 8 ~ 12%. The results show that the particle vibration peak formula based on dimensional analysis can be better applied to the prediction of blasting vibration under complex terrain.