Aiming at super game problem that there may be the "gray" and "poor information" problem, puts forward a model based on grey network of games under the lack of information network, and puts forward the modeling ideas of grey network of games and its Nash equilibrium solution algorithm, and solved the grey uncertainty problems in network of games modeling. Through macroscopic faith modeling, generate global grey scene and typical optimization scene, through micro belief equilibrium modeling, using possible degree analysis and particle swarm optimization to solve the Nash equilibrium. Finally instance simulation to verify the feasibility and effectiveness of the grey game network algorithm, its authenticity is good, and there is a high application value.