This study proposed a Low-latency Services Offloading Policy based on a Greedy algorithm, called LSOPG, for 5G edge computing. LSOPG algorithm inherits the advantages of low complexity and high efficiency of the greedy algorithm and improves the frequency of congestion caused by queuing between users, finds the best balance between latency and load balancing. Compared with the previous study, when there are 20 users and the service type is1080P@60fps video streaming, the proposed LSOPG policy can improve about 1.92% latency and 22.25% packet loss rate. When the number of users is increased to 50, it improves about 2.41% latency and 35.32% packet loss rate. This experimental result confirms that the LSOPG policy can provide well service quality in 5G networking.