For the high-speed railway LTE-R (long term evolution for mobile communications-railway) handover process, the handover algorithm based on the A3 event decision is prone to frequent ping-pong handovers and has low handover success rate. An optimized handover algorithm based on improved fuzzy prediction is proposed in this work. In this algorithm, the reference signal received power (RSRP) in the handover process is collected, and the collected RSRP value is optimized by the improved GM (1,1) grey prediction algorithm. After the three cycle prediction and weighted average, the measured parameter values are sent to the decision formula for judgment. Simulation results of the algorithm in MATLAB show that the proposed algorithm reduces the parameter fluctuation in the process of handover, thus reducing the number of ping-pang handovers and improving the success rate.