The Nash equilibria set (NES) is described as an intersection of graphs of best response mappings. The problem of NES computing for multi-matrix extended games is considered. A method for NES computing is studied. Mathematics Subject Classification 2000: 91A05, 91A06, 91A10, 91A44, 90C05, 90C31, 90C90. Keywords and phrases: Noncooperative game, normal form game, Nash equilibrium (NE), Nash equilibria set (NES), graph of best response mapping, intersection, method, algorithm, computational complexity.