This paper proposes a method to minimize the power consumption in networks while providing working paths with optimal splitting traffic and a backup path. Due to a tradeoff between energy-efficiency and survivability of networks, the reduction of power consumption for survivable networks is a required issue. In the proposed method, the problem is formalized as a Linear Programming (LP) formulation. The proportional power, which is traffic-dependent power, is determined as a power model in the formulation. The results show that the working traffic in the network without sleep mode is split with satisfying the minimum proportional power consumption. The traffic splitting reduces the total capacity. It affects to the power consumption in the survivable networks. © 2013 IEEE.