The problem of synthesis of the contoured radiation patterns of spacecraft reflector antenna with classic and non-classic reflectors and array feed are considered. The variational formulation of the synthesis problem according to the given magnitude pattern and nontraditional forms of apertures are used. The mean-square deviation of given and synthesized magnitudes is chosen as optimization criterion. It permits to improve the approximation quality of the magnitudes, to influence by a certain mean on polarized properties of synthesized radiation patterns, and also to satisfy set additional requirements.