Abstract: In the framework of real locally convex Hausdorff topological linear spaces, the single-valued mappings are extended to set-valued mappings and the problem solutions are extended to system solutions in this paper. We obtain the result that the solution of set-valued generalized strong vector quasi-equilibrium (SVGSVQEP) system is always stable, when the constraint set-valued mapping is continuous and the objective mapping satisfies the cone-true quasi-convex condition.