Abstract: The transform of Gabor is a powerful means of representation of an image. It can be used in an effective way for the analysis, the segmentation and the compression of image. However, the principal problem during its use is that no simple method allowing calculation of the coefficients of Gabor. In this study, like proposed an algorithm based on the FFT; however also show that there are a clear reduction of complexity and thus an increased convergence. At least, a whole of examples are given illustrating present approach.