To improve the cache performance of content-centric mobile edge networks, a user mobility-aware and node centrality based caching mechanism, UMANCC, is proposed. UMANCC utilizes edge nodes to calculate the node centrality, idle rate of cache and cell sojourn time of users. A mobile edge network controller collects aforementioned information of edge nodes, and ranks each node base on the calculated importance factor of nodes. The caching node is selected according to the ranking result. Simulation results show that compared with the traditional caching mechanisms such as LCE and Prob, UMANCC effectively reduces the average number of hop count of fetching contents by up to 15.9%; it improves the hit ratio of cache at edge nodes by at least 13.7%, and it reduces traffic flowing into core networks by up to 32.1%. It greatly improves the performance of content distribution in content-centric mobile edge networks.