Food safety issues related to public health, social stability and economic development, has always been one of the hot issues of concern to all sectors of society. In recent years, food safety problems emerge in an endless stream, all sectors are trying their best to enhance food safety. Thus, from the food quality and safety supervision point of view, and based on the theory of information asymmetry, bounded rationality and consumer feedback mechanism, this paper constructs tripartite evolution game model among food production enterprises, third party testing institutions and government regulators, and analyzes the interaction mechanism between the strategies of different subjects and the evolution trend of each subject strategy selection under different parameter changes. The game model is simulated by Matlab 2016b, the results show that the sensitivity of each subject to consumer feedback (le, The perception of the value of consumer feedback), as well as the cost of detection and supervision is important factors affecting their decision-making behaviors. Finally, the countermeasures and suggestions on food quality and safety supervision under the feedback mechanism of consumers are put forward. In order to improve the safety level of food quality and to maintain the market order, the direction is pointed out.