Design of different ground-based adaptive telescope is considered. The analysis is based on computer simulation. Here I consider principles of computer simulation of the wave-front, distorted by atmospheric turbulence, including problems of large scale simulation and dynamic simulation of wavefront. In this paper presents the results of calculation of the Point Spread Function (PSF) of adaptive telescope with a circular aperture 1 m in diameter for the monochromatic wavelength (lambda) equals 0.55 micrometers . We are going to include a program imitating the operation of the wavefront sensor in numerical model, but so far assume the phase distortions in the incident wave to be well known, and the results of calculations illustrate only the limitations due to the finite number of the degree of freedom of phase corrector. We consider two types of phase correctors: the model corrector, which compensates for aberrations from tilt to coma and the segmented mirror with a hexagonal structure.