To evaluate the stress field in the Martian interior a static-state approach is applied. We use trial interior structure model having 150–300 km thick lithosphere overlying a low rigidity layer, which partly lost elastic properties. Calculations of stresses are performed with spatial resolution a 1 × 1 arc-deg spherical grid and down to 1000 km depth. Stress estimates are calculated in the interiors of the planet under local topography structures, these areas are of interest to reveal the zones of possible marsquakes sources. Large non-hydrostatic stresses under Hellas Planitia, Argyre Planitia, Mare Acidalia, Arcadia Planitia and canyon Valles Marineris may lead to relatively increased seismic activity for these regions.