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To accurately estimate the state of charge (SOC) of lithium battery, the equivalent circuit model was studied. Through experimental study on the electrical characteristics of lithium-ion batteries to charge and discharge, use of charging and discharging voltage and current data to identify the ohm internal resistance, polarization resistance and capacitance parameter, more precise lithium battery Thevenin model was established. In this paper, a discrete state space model of lithium iron phosphate battery was established and the simulation model of the battery was established in Matlab/Simulink environment, and the discharge experiment was designed. Experiments show that the mathematical models of lithium batteries simulation data and the measured data error is less than 0.1V, and the error decreases as the charge and discharge, better to follow the change of the battery voltage, the model precision is higher.