The results of theoretical research and numerical simulation of the generation process of difference frequency radiation by the IR femtosecond laser pulse with the frequency modulation are presented. It is shown that to obtain the maximal generation efficiency of the difference frequency radiation, the instantaneous frequency of the femtosecond IR laser pulse should be the quadratic function of time. The obtained results are independent on the type of nonlinear crystal and can be used to develop and create the pulse source of difference frequency radiation.