The recent progress in developing the gravity and topographic models of Mars [1-3] allows to study the stress field in detail and to recalculate previous estimates of static stresses [4]. It is of importance to identify areas of high values of shear and tension-compression stresses as possible marsquakes focuses, as in 2018 NASA’s Discovery Program mission InSight (Interior Exploration using Seismic Investigations, Geodesy and Heat Transport) will place a single geophysical lander with a seismometer on Mars to study its deep interior. In this paper we will consider the case of an elastic mantle of Mars.