The traditional performance prediction method has low prediction accuracy for military aircraft hydraulic pump performance in high working intensity of military aircraft hydraulic pump and complicated working environment. Aiming at this problem， an military aircraft hydraulic pump performance trend prediction method is proposed based on the autoregressive integrated moving average （ARIMA） model and long short term memory （LSTM） network. Firstly， the obtained raw data of aircraft hydraulic pump performance characterization parameters are linearly decomposed to obtain trend item data and detail item data. Then， the ARIMA method is used to predict the trend item data， and the LSTM method is used to predict the normalized detail item data， and finally the two parts of the prediction result are superimposed to obtain the final performance trend prediction result. The research results show that the combined prediction method of ARIMA-LSTM is better than the single ARIMA or LSTM prediction methods for predicting the trend of aircraft hydraulic pump performance， which provides a new method for engineering application of aircraft hydraulic pump performance change trend prediction.