Aiming at the problem of multiple attribute decision making with attribute values as intuitionistic fuzzy information and unknown attribute weights, a multiple attribute decision making method of intuitionistic fuzzy TOPSIS based on rough sets is proposed. Firstly, the positive and negative ideal points of the intuitionistic fuzzy information are given. The discernibility matrix is obtained according to the given threshold and the similarity degree between attribute values and the ideal points. Then, the attribute reduction is operated and the weight of attribute is determined by the discernibility matrix. Finally, according to the TOPSIS idea, the weighted similarity degree between each alternative and the ideal point is calculated. And the order of the alternatives is obtained. The validity of the method is verified with an example.