Low energy consumption and full utilization of physical resources are two primary objectives for green cloud data construction， so a virtual machine migration model is required to complete the optimization. An interrelation approach in virtual machine migration（INTER-VMM） is proposed in this paper， which interrelated virtual machine selection and its placement. An energy consumption model based on multi-dimensional physical resources for cloud data centers is designed in INTER-VMM. It is a virtual machine migration strategy combining host detection， virtual machine selection and its placement. The CPU utilization selection（HPS） is adopted in virtual machine selection， which selects the virtual machine with the highest CPU utilization on the overloaded physical host and lets it enter the list of candidate migration virtual machine. The space aware placement （SAP） is adopted in virtual machine placement， considering the method of making full use of the spare time of the physical host. Simulation results show that INTER-VMM has better performance indices than those of common virtual machine migration strategies in recent years， which is valuable for cloud service providers.