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Transformer is the key equipment of transforming voltage and exchanging power in the power system. It's safe and reliable operation directly influences the safe level of the power system. The risk assessment of transformer is very significant to improve the reliability of the power system. A fuzzy comprehensive risk assessment model of transformer based on Borda number theory is proposed in this paper. At first, the fault types and risk factors of the transformer are analyzed. Secondly fuzzy theory is applied to quantify the risk factors. And then Borda number theory is employed to analyze influence degree and occurrence probability of transformer. At last, the assessment examples of transformer show the good reliability of this method.