Abstract: The paper uses Gaussian distribution to describe the non-uniformity of the power spectrums power law along the propagation path. It presents the simulation of the non-Kolmogorov turbulence phase screens based on equivalent structure constant by power spectrum inversion method, and the simulation of the transmissions of laser beam through isotropous and non-Kolmogorov turbulence. By analyzing the light intensity uniformity, drift and scintillation indices of the beam propagating through single phase screen and multiple screens respectively, the influences can be found. When beam propagates through single phase screen, the maximum and uniformity of light intensity increase first and then decrease with power law. And beam drift is affected randomly in single screen and regularly in average data. When beam propagates through multiple phase screens, the scintillation indices of beams are affected by the number of phase screens. When the number is large, the scintillation indices through the isotropous turbulence is much larger than that in non-Kolmogorov turbulence, and the relative errors of beam drift in two models is close to 0. It is necessary to verify the influence by experiments and divide the scope of Kolmogorov turbulence and non-Kolmogorov turbulence.