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In the paper, we discussed the characteristics of data mining on association rules for multi-dimension data. Then through the multi-dimension data attributes analysis and OLAP operations, we integrate the OLAP and data mining based on their advantages to one method which is called On-Line Analysis Mining (OLAM). Based on OLAM, an algorithm for multi-dimension data on association rules has been reformed. It can improve the efficiency and flexible of rules searching. Finally, our performance has proved the algorithm.