Abstract: A nonmonotone derivative-free descent method is proposed for solving the linear second-order cone weighted complementarity problem(LSOCWCP). A merit function is constructed and the boundedness of its level set is analyzed.The nonmonotone line search technique is employed to calculate the step size. Under the mild assumption, the search direction of the method satisfies descent condition, and the proposed method is globally convergent. The numerical results verify the effectiveness of the method.