In this paper, we describe a routing method for path on SDH Network with digital cross-connect control, which is implemented in an automated path provisioning function. Excessive concentration of assigned time slots at particular links results in longer restoration time, which is needed to switch or reroute paths on failure link. We propose an optimization method to provision the shortest route considering deconcentration of time slots assigned on each link. After defining LP-based formulation for path routing, we carried out computer simulation study for restoration performance on sample networks, assuming each restoration process for paths on failure link is executed one after another. Mean restoration time by our proposed method has reduced to a great extent compared to a basic routing method. It has been proven that the proposed method can realize effective use of resources and faster restoration time, and can be utilized in commercial systems.