With the gradual deepening of the reform in Chinese power market, the number of electricity companies and the forms of market transactions will continue to increase. The decision to purchase and sell power will become the core competitiveness of power sales companies, which directly determines the operation of power sales companies’benefit. In order to provide useful reference for the operation decision-making of domestic power retail companies and help related researchers and technicians to understand the research status of power purchase and sales decisions of electricity companies better, the three aspects of the uncertainty parameter predution, power purchase decision-making and pricing strategy of the power retail company are systematically summarized. The current status of research on power purchase and sales strategies of the power retail company is summarized. Finally, future research directions are discussed.