This paper aimed at the intuitionistic fuzzy multiple attributes decision making issues with incomplete attribute weights, and we proposed a grey relational analysis method. First of all, the relative conception of the intuitionistic fuzzy theory was introduced, then we presented the steps to solve this kind of problem basing on the basic idea of TOPSIS and traditional grey relational analysis method, by utilizing the single objective programming model we got the determinate value of the weights information, so the rank was carried out. Finally, an example was used to illustrate the feasibility and effectiveness of the proposed approach.