Important information of the room acoustic characteristics is contained in the room impulse response. We analyze the time-space correlation of the impulse response by the self-similarity method. The room impulse response is divided into the frame of the length of the fixed time. Attractors are composed by affine transformation of each frame. The attractors that make the Hausdorff distance become the shortest between the standard frame and attractors are decided. The impulse response is reconstructed by using these attractors. In the self-similar analysis, the frame length is decided from the period of the Hausdorff distance between the initial sound and the reflection sound. We show results for the relation between the room acoustic characteristics and the attractors calculated from the self-similar analysis.