Аннотация:The problem of determination of possible depths of compensation for relief’s harmonics of different degree and order have been solved .It is shown, that the whole compensation of a relief is carried out in a range of depths of 0-1400 km. The lateral distribution of compensation masses is determined of this depths, and maps are constructed. The possible nonisostatical vertical stresses in crust and mantle of Mars are evaluated. They reach 64MPa (for compression) and 20MPa (for tension). It is shown that relief’ anomalies of volcanic plateau Tharsis and symmetric formation in east hemisphere could arise and be supported dynamically by two plumes of mantle substance, enriched by fluids. The plumes have their origin at the core. The raising and support of plumes can be caused by internal gravity anomalies. They can reach +800 mGal at the core, -1200 mGal above the core-mantle boundary layer and -1400 mGal at the crust.