Abstract: In order to study the static characteristics of rockfill dam with asphalt concrete core in XinjiangProvince, the nonlinear three-dimensional finite element method was employed. The Duncan-Chang E-B model was chosen in this paper to simulate the filling and storing processes of the dam. Based on the theory of linear-elastic fracture mechanics, the hydraulic fracturing analysis of asphalt concrete core is performed. According to the analysis results, the stress intensities and deformation values were within safety ranges, but the asphalt concrete core wall has obvious arching effect. So we need to study the risk of hydraulic fracturing on core. The hydraulically fracturing criterion of the core is established on the based of the fracture mechanics theory, and the probability of hydraulic fracturing on core can be obtained by pre-defined fracture in the possible position. The analysis shows that the fracture could not propagate, local hydraulic fracturing couldn't occur.