With the deep integration of Power Internet of Things and Energy Internet, more and more terminal devices and users are connected to the power distribution network, how to allocate cloud-side resources to provide computing support for energy management applications has great research significance. This paper proposes an offloading cost based cloud-edge collaborative scheduling method for distribution network energy management applications. Firstly, this paper introduces the microservice model of energy management applications and the cloud-side collaborative application processing structure based on docker technology, as well as expounds the microservice offloading mechanism. Then, the mathematical model of microservice, edge node and container queue are established. Based on the two different offloading paths, which are edge-cloud offloading and edge-edge offloading, the costs of computing delay, queuing delay and communication delay are considered respectively, and the optimal offloading path are determined by solving the objective function to minimize the system offloading cost. Finally, the effectiveness of the proposed method are verified by simulation.