With the deepening reform of electric power market, it is of great significance to study the trading mechanism of electricity distribution market with microgrids. Solving the asymmetry of the market position between microgrids and traditional power suppliers as a binopoly Gournot-Bernchende model under bounded rational strategy. As dominant party, traditional power suppliers adopt the Cournot model to stabilize market, the microgrid is disadvantaged party, using Bertrand model to enhance competitiveness. Nash-Equilibrium-Points and local stability domain are given through simulation examples. Analyzing the influence of power supply difference on the stability of model and comparing power supply and price at Nash equilibrium points in different binopoly models. Establishing three oligopolies Cournot-Bernard model with two micgrids, giving Nash-Equilibrium-Points and local stability domain, analyzing the power supply and price relationship between different microgrids, and comparing the different three oligopolistic models.