We propose a new method, called closed multidimensional sequential pattern mining, for mining multidimensional sequential patterns. The new method is an integration of closed sequential pattern mining and closed itemset pattern mining. This integration is performed in two approaches: mining closed itemset patterns followed by mining closed sequential patterns and mining closed sequential patterns followed by mining closed itemset patterns. For the new method, it is shown that (1) the number of complete closed multidimensional sequential patterns is not larger than the number of complete multidimensional sequential patterns; (2) the set of complete closed multidimensional sequential patterns covers the complete resulting set of multidimensional sequential patterns. In addition, mining using closed itemset pattern mining on multidimensional information would mine only multidimensional information associated with mined closed sequential patterns, and mining using closed sequential pattern mining on sequences...