The article considers the process of kinematics in the formation of the grid of traces taking into account the influence on microrelief of the formed surface. Schemes of interaction of the machined surface with diamond-abrasive sticks, which are positioned at different angles and their influence on the formation of the microrelief of the machined holes have been given. The calculation scheme of positioning diamond-abrasive sticks at different angles is presented. On this basis, mathematical models of density of the formed grid of traces were obtained. The study of the influence of the inclination angle of diamond-abrasive sticks on the formation of the macrorelief of the machined hole is also presented. The influence of transfer of peculiar geometrical deviations of honing heads on the machined surface is defined.