Recently, the SDN is a popular research field. The centralized controller can control all network devices. In ad- dition, the priority if the packet transmitting route of the network or the supervision of the network safety can be conduct- ed from the comprehensive angle. The ECOE proposed in the paper is a kind of the network model of the SDN. It can support many important functions in the SDN by deploying the Ethernet switch in the core network and the OpenFlow switch at the network edge. This paper will introduce how ECOE network model can control the flow-based routing for different kinds of packets. In addition, it can flexibly limit the broadcast/multicast domain and dynamically set the flow load balance to the whole network. Finally, it can also explains how the structure of the ECOE supports the functions of the Service Chain in the Network Function Virtualization (NFV).