In free-space optical communication system, the scintillation of optical intensity from atmospheric turbulence can seriously affect communication performance. In order to reduce the scintillation effect caused by turbulence, based on the time-domain characteristics of light intensity scintillation caused by turbulence, a simulation method which can generate dynamic scintillation series is presented. And its statistical characteristics can be used in the study of free-space optical communication against turbulence effects. In this paper, the time series model are established which can reflect the dynamic characteristics of the received optical intensity. The time series model combine double generalized Gamma distribution and the time signal covariance function of atmospheric turbulence by using generation algorithm of the non-Gaussian colored spectrum signal. When the pointing error is considered in the optical communication system, the time series simulation of the light intensity scintillation under different turbulence conditions is analyzed, and the results are in agreement with the theoretical results. And the formula of average BER under joint probability density is given. The communication system average bit error rate and outage probability can be analyzed by the generated time series involved.