In electric power market, the bidding strategy of power producer has very great influence on its profit and power producer should study the bidding strategy in order to maximize its own profit. The bidding strategies among power producers in electric power market were studied with non-cooperative game theory under inelastic electric power demands. According to the characteristics of the problem，based on PSO, the multi objective programming model of the solution of Nash equilibrium was given， and the approximate result was obtained. The result can guide the power producers to constitute the bidding curves， which makes the producers not be blind to bid.
