With the power consumed by networks expected to increase rapidly due to significant growth forecast in traffic volumes, green networks that reduce CO2 emissions are becoming increasingly important. Besides the energy-saving technologies currently under development for application to individual devices, technology that provides system-wide energy-savings for networks overall will be necessary to achieve green networks. In this paper, we propose a path-based traffic control method that achieves green networks by controlling the usage probability of pre-defined multiple paths to bring about a situation where some nodes can transition to sleep state when the traffic volume is small. The behavior and efficiency of the proposed method was evaluated using a simulation. From the simulation results, we confirm that the proposed method controls traffic in a timely and stable way in accordance with the variation in traffic, and saves energy during off peak times.