Firstly, a classifying model of supplier is proposed. Then the performance evaluation index system is originally constructed based on the dynamic model of supplier.Secondly, the logarithm triangular fuzzy number-AHP method is creatively used to study the strategic supplier performance evaluation index system. It is found that this method is a scientific qualitative and quantitative evaluating strategy overcoming the deadly disadvantages. Finally, one case is used to explain fairness and rationality of logarithm triangular fuzzy number-AHP method used in the strategic supplier performance evaluation system.