In data center networks, energy consumption accounts for a considerably large slice of operational expenses. Many energy saving strategies have been proposed, most of them follow the point of bandwidth or throughput to complete the design of energy saving model. This paper provides a new perspective of energy saving in data center networks, which basic idea is to ensure the higher priority traffics have the shorter routes. Combine the bandwidth constraints with the aim of energy saving, and keep the balance between energy consumption and traffic priority demand. Simulations show that our routing algorithm can effectively reduce the transmission delay of the higher priority traffics and reduce the power consumption of data center networks.