This paper presents the algorithm of an on-line cursive Hangeul recognition by means of the DP matching with structural information. In the proposed method, the penalty represents the similarity between input character and reference character. The penalty is dynamically computed with types of strokes, directions of strokes, and the length rations of fragment during the process that searchs for an optimal path using 3$ imes$3 matrix. As the result, this method can be exactly matched for even greatly deformed characters. The computer simulation shows that the proposed algorithm can be utilized in recognizing cursive Hangeul as well as correct Hangeul