The article considers the results of computer simulation by the method of finite elements for a single-layer quasi-force-free magnet winding of finite thickness. Earlier calculations were made in the approximation of infinitesimal thickness of layers and continuous current distribution. A necessary condition for equilibrium quasi-force-free magnet is the balance of the full forces of expansion and contraction in the radial direction, arising out of actions on a winding represents the dependences on toroidal and azimuthal components of a magnetic field. For the magnet winding of finite thickness is marked deviation from the equilibrium state. Violation of the conditions of equilibrium is compensated by injection an additional axial field. The experiment made shows the effect of the additional fields on deformations of a magnet.