The influence of ambiguity to the equipment supplier choice decision making is studied. Based-on fuzzy mathematics theory and TOPSIS, a supportability equipment supplier decision-making method of uncertainty is proposed. The relative Hausdoroff distance for tradeoff of every supplier program is obtained by calculated the every supplier program to the alternatives to the positive and virtual negative ideal scheme. At last, the model is applied to a case of bidding supplier for airborne equipment program. The example shows that the method effectively resolved the supplier selection decision-making process of the fuzzy problem, more intuitive and accurate to give a sort of all bid units, has good applicability.