In order to analyze the performance of atmospheric optical communication systems under aperture averaging effect by Monte Carlo, a method is proposed to simulate the received optical signal of exponential Weibull distribution APD with specified temporal autocorrelation affected by turbulent disturbance. This method first uses the autoregressive (AR) model to generate Gaussian random samples with specified time autocorrelation characteristics, and then uses the inverse transformation method to convert these autocorrelated Gaussian random samples into random samples that obey the APD exponential Weibull distribution. Through simulation experiments, we found that the generated signal matches the specified time autocorrelation function in terms of time autocorrelation performance. The simulation results show that the proposed method can effectively simulate the time-domain optical signal received by the APD with exponential Weibull distribution affected by turbulence disturbance.