Fourier telescopy is a kind of active imaging technique which has won great attention for these years. In that technique, fringe patterns is used to extract Fourier components of target object, and random phase shift can be eliminated by phase closure, so that high resolution image of the target at geosynchronous ranges can be reconstructed. This paper deduced the basic theory of Fourier telescopy and gave a simulative study on this imaging technique. It showed the validity and feasibility of Fourier telescopy by reconstructing the image of two simulative targets.