In this paper the change of the magnetchydrodynamic flow velocity of the infinite plate in the non stationary motion of the incompressible viscous liquid has been studied numerically. Outer magnetic field has been directed perpendicular to the plate and assumed moving with the plate. For the different dynamical motion of the plate, the evolution of the velocity has been investigated numerically. The magnetic field induction and the changing of the parameters of the dynamical system on a large range effect to the velocity has been investigated. At a specific point increasing of the magnetic field induction causes decreasing in the velocity. By the increasing the parameters of the manyetohydrodinamic system, the problem becomes more difficult to solve analytically. Therefore, a numerical solution technique is resorted to solve the problem approximately.