In order to improve the simulation accuracy on the phase screen of dynamic atmospheric turbulence simulation, a method for measuring time correlation using time covariance is proposed. Research has been carried out on atmospheric turbulence phase screen simulation methods based on liquid crystal spatial light modulators(LC-SLM), time characteristics, etc. The power spectrum inversion method is used to generate a turbulence simulation phase screen, and then the calculation method of the time variable and time power spectrum is given. Finally, an atmospheric turbulence phase screen simulation experiment system based on LC-SLM is established, and the above method is verified experimentally. The experimental results show that in the case of laser distortion loss, the calculation error of the time covariance can be controlled to about 8.0％, and the time simulation accuracy of the phase screen is better under this simulation method.