The vernier range measurement technology could significantly improve the stochastic range measurement precision of coherent radar.The vernier range measurement precision relates to the initial range precision and the range increment precision.The impact of the initial range precision is more serious.The system error and stochastic error of initial range can all be as the system error of the vernier range measurement.The vernier range measurement principle and model is studied.A method to improve vernier range measurement precision for pulse radar is presented.The result of theoretic analysis and emulate indicate that the method can effectively reduce the effect of initial range stochastic error on the vernier range measurement precision.