Stress corrosion cracking (SCC) in nickel-based alloys is one of the most important potential safety hazards in primary circuit of nuclear power plants. Considering the randomness of physical parameters and based on the theory of oxide film rupture, the dispersion law of mechanical properties at SCC tip of nickel-bases alloys is studied. To improve the efficiency of numerical analysis with random parameters, combining with the advantages of MATLAB and sub-model technology of ABAQUS, MATLAB is employed in the secondary development for ABAQUS. With the help of finite element numerical simulation and Latin hypercube sampling method, Effect of random parameters such as Young’s modulus, yield strength on the stress and strain of the oxide film region and the base metal region is investigated. Meanwhile, the feasibility of the method is verified. The results show that the influence of randomness should not be ignored, the randomness of yield stress has the greatest influence on the dispersion of stress at SCC tip, and the randomness of Young’s modulus has the most significant effect on the plastic strain dispersion at SCC tip.