In this paper, we propose an inexact smoothing method for solving symmetric cone complementarity problem based on a one-parametric class of smoothing function which contains the FB smoothing function and the CHKS smoothing function as special cases. At each iteration, we use the GMRES iterative solver to obtain an approximate solution to the generated smoothing Newton linear system. Under suitable conditions, we obtain global convergence and local superlinear convergence of the proposed algorithm. Numerical results indicate that the proposed algorithm is effective for large-scale problem.