In order to reduce the impact of the probe laser power jitter on the measurement results of the high-precision cold atom interferometer, the acousto-optic modulator is used as the laser intensity feedback medium, and a mixer is used to control the radio frequency power which driving the acousto-optic modulator. By the power stabilization experimental system of the probe laser pulses, it can achieve the rapid power stabilization of the laser pulse during the detection process of the cold atom interferometer.When the power is stabilized, the power stability established time of the laser pulse is on the order of microseconds(us), the power stability is better than [2.11×10-4](within 500 μs), and the long-term stability of the laser power is about [2.47×10-4](in 14 hours), so the power noise of the laser can be effectively suppressed. Theoretically, the influence of the power noise of the probe laser on the interferencephase of the cold atom interferometer can be reduced to [1.38 mrad]. The stability of interference signal is improved to a great entent and the system noise is also reduced.