Abstract: The paper presents a nonlinear MHD equation describing 2-D inhomogeneous magnetized plasma. Then a 2-D solitary vortex solution was given. Its structure is similar to the solution obtained in papers [2, 3], but it differs from the latter in several aspects. There is no restriction on the values of vortex speeds and the solitary waves can propagate in any direction in the plane with magnetic field B as its normal. The plasma is adhered to the vortex and moving along with it across B. This implies that the existence of solitary vortices is connected with anomalous transport of plasma.