For the multiattribute decision making in which the attribute values are interval numbers, and the attribute weights are unknown, we propose a decision making method based on the Spearman rank correlation coefficient between the alternative and the positive, negative ideal alternatives. First, we analyze the limitation of the Spearman rank correlation coefficient between the alternative and the positive ideal alternative. Then, inspired by the TOPSIS method, we define the Spearman rank correlation coefficient between the alternative and the negative ideal alternative. On the basis of the Spearman rank correlation coefficient between the alternative and the positive, negative ideal alternatives, we propose the synthetic Spearman rank correlation coefficient of interval numbers for alternative, and discuss their some properties. Finally, a multiple attribute decision making method based on the synthetic Spearman rank correlation coefficient of interval numbers is proposed, and an example about the evaluation on financial management of subordinate colleges in a university is used to illustrate the feasibility and effectiveness of the proposed method.