This article describes a new model of gravitation based on idea of interconnection of the gravitational interaction with the curvature of space (but only 3-dimensional, without the ”curvature” of time). It is proposed to consider the space consisting of unit cells with dimensions comparable to the size of elementary particles. Curvature of space is interpreted through the change in the relative volume of unit cells. In the gravitational field the curva- ture of space is qualified as a decrease in the distension of space with increasing distance from the center of the attracting body. As an important complement of the kinematic relativistic effects of moving bodies is introduced a new kinematic effect of longitudinal distension of comoving space. It is alleged that the gravitational interaction is manifested as a result of following of changes of kinematic effects of moving bodies for change in the local distension of curved space. It is shown that the extrapolation of the fall of matter on the center of the attracting body leads to the conclusion about the existence of density limit, as which can be accepted the matter density of the neutron star.