Energy efficient routing is an important measure to promote the energy efficiency of wireless sensor networks (WSN). In this paper, we proposed a minimum energy consumption (MEC) routing algorithm for WSN, GLB-DMECR. This algorithm exploits the utility of sensor nodes? geographical location information to calculate the ideal MEC route and use the ideal MEC path to guide the routing procedure, thus to find an practical MEC path. Moreover, GLB-DMECR adopts a localized and decentralized routing decision mechanism and has good scalability and stability, which are more suitable for some special characters of WSN such as free of centralized control, nodes? vulnerability to failure, large network dimension, and etc. The implementation of GLB-DMECR is relatively simple, and it has been verified by simulation that GLB-DMECR outperforms or equivalent to many other present algorithms in MEC performance under wide network circumstance. Therefore, it will have bright future in WSN.