A simulation model for positive long gap discharge process was proposed. On the assumption that the axis electric field intensity in the streamer zone was constant, the streamer zone position could be calculated by analyzing the background potential distribution and reality potential distribution. A double-cylinder model was proposed to calculate the space charge during the process of leader and streamer development. Thereby, the leader velocity was concluded, moreover, the variation of axis electric field intensity of leader was analyzed by using gas thermodynamics theory and a model for positive long gap discharge was proposed at last. Furthermore, in order to validate the model, a positive discharge in a 10m rod-plate gap was simulated. By comparing the main discharge characteristics of simulation results and experimental recordings, such as leader length, space charge, breakdown time and voltage, the simulation results coincided with the experiment results. The model is proved to be effective and practical. Long gap discharge simulation model is often used to simulating discharge process, analyzing the mechanism and predicting the discharge characteristics, so it is important for the isolation design. The most critical aspects of these models are the calculation of space charge during different stages of long gap discharge. In this paper, a simulation model for positive long gap discharge process is proposed. On the assumption that the axis electric field intensity in the streamer zone is constant, the streamer zone position can be calculated by analyzing the background potential distribution and reality potential distribution. A double cylinder model is proposed to calculate the space charge during the process of leader and streamer development. On this basis, the leader velocity is concluded, moreover, the variation of axis electric field intensity of leader is analyzed by using gas thermodynamics theory and a model for positive long gap discharge is proposed at last. Furthermore, in order to validate the model, a positive discharge in a 10m rod-plate gap is simulated. By comparing the main discharge characteristics of simulation results and experimental recordings, such as leader length, space charge, breakdown time and voltage, the simulation results coincided with the experiment results. The model is proved to be effective and practical.