One of the main tasks to determine the technological settings of the sheet leveling machine (leveler) is to identify the maximum roll overlap. In the well-known works on the study of sheet metal-roll leveling, the overlaps are set on the basis of experimental data, that is applicable for the leveling sheets from material with the 800 MPa yield strength. But for materials with a higher yield strength additional research is required. The purpose of this work is to establish criteria affecting the maximum allowable overlap for the working rolls by the leveler and to determine the dependencies for the most rational working rolls adjustment. When solving the set tasks, developed by the authors, a numerical analytical mathematical model of the leveling process was used as an objective function, that allows to determine the energy-power characteristics and the sheet curvature after leveling, depending on the individual settings of the leveler rolls. Within the framework of studies, an algorithm of a mathematical model was developed that allows to determine the leveler technological settings necessary for correcting the longitudinal curvature and comes down to determining the aligning coordinates for each of the movable rolls depending on the known characteristics of the metal being processed, the leveler geometric parameters, and the permissible value of the sheet residual curvature after leveling. In consequence of studying the influence of the working rolls setup on the sheet metal-roll quality during leveling on a multi-roll leveling machine, the laws for the rational rolls positioning were established. The linear and sinusoidal laws were identified as optimal ones. Boundary factors were also established as affecting the maximum overlap of the rolls. These factors included the condition of the pickup and the condition of the rolls strength. Using the example of implementing the developed finite element model of the sheet leveling process at the leveler of NKMZ (Ukraine), it was found that the pickup condition has a dominant influence when leveling sheets with a thickness of less than 6 mm, and with larger thicknesses the condition of the rolls strength is prevailing. With a decrease in the yield strength of the material or the width of the sheets, this ratio will be redistributed towards the pickup condition.