With the lithium-ion batteries widely research and application in the aerospace, military construction, industrial manufacturing, electric vehicles and energy storage equipment areas, its remaining useful life prediction is of great significant. Through analyzing the principle of the lithium ion degradation process data and eliminating lithium-ion battery relaxation effect, this paper establishes Wiener process degradation model with random effects. Knowing its degradation threshold, lithium ion battery life distribution is deduced, and on this basis, we can predict a single lithium-ion battery remaining useful life. Finally using the battery data of NASA PCoE database to verify, the results show that compared with the traditional equipment storage-work joint degradation model, which is mentioned in the references, Wiener process degradation model has higher precision of prediction.