Studying of stress field in the Martian interiors is of interest to understand the level of seismic activity of the planet and to localize zones of possible marsquakes’ sources for forthcoming seismic experiments on Mars. Joint analysis of gravity and topography data in a frame of the static method let us some knowledge on stress eld in the crust and in the lithosphere of Mars. At present detailed data on topography and gravity field are available. In present study numerical calculations of tension-compression stresses and maximum shear stresses are carried out for two trial interior structure models of Mars, with a 1х1 arc-deg spherical grid and up to 1000 km depth.