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The existing and abusing of market power will reduce performance and efficiency of the electricity marke. Identify and mitigate the market power in time is very important for a healthy market. So it is urgently demanding an integrated and effective evaluating system to give an impersonal judge of the market and a convincing support for the decision-making of policy makers. This paper systemically induces the definition, signification and application of the surveillance indices using in the evaluating system. It also gives a rational classification of the indices and reveals the inherent relations among them. At last the evaluating system is put forward, including the grade standard of each index, the score assignment and the method of calculation and integration. Examples and actual application for an electricity market in China are presented throughout the paper to illustrate the ideas.