In order to reduce the dual-frequency interferometer measuring error induced by acceleration of measured object, a theoretical model of the interferometry measuring error was put forward by considering second-order Doppler frequency shift. The simulated results show that when muzzle velocity is zero the cumulative error induced by acceleration of 0.6g can be up to 2.5 nm in 0.4 s, which is not negligible in nanometer measurement. Moreover, when muzzle velocity is not zero, the acceleration motion may result in more error and deceleration motion may result in less error. At last, experiments were done to validate the model.