Abstract: For predicting the State of Health(SOH)of battery in mine movable rescue capsule precisely,this paper establishes the model to predict the SOH of Lithium Iron Phosphate(LFP) battery by Elman neural network,optimizes its original weights and threshold by Genetic Algorithm(GA),and calculates SOH by shallow discharge testing data.The results show that the model has reached the purpose of accurate prediction,and has high practicability and good application prospects.