Under the assumption that the domain of the undetermined parameters is known, the existence of strong Nash equilibrium for non-cooperative games is investigated. Combined the concept of strong Berge equilibrium and Pareto equilibrium with NS-equilibrium for non-cooperative games, the notions of Pareto strong Berge equilibrium and strong Nash equilibrium under uncertainty are defined, and the existence theorem of the equilibrium is also provided by means of the Ky Fan inequality. Finally, a numeric example illustrates the effectiveness and feasibility of the proposed method.