An approximate solution of the system of Vlasov-Maxwell equations for a collisionless current sheet with strongly anisotropic ion species (the bulk velocity outside the sheet is much greater than the thermal one) and sharply curved magnetic field lines (the curvature radius is much less than the ion gyroradius) is obtained in the form of a universal function with two asymptotics and an iterative procedure in between. The magnetic field spatial scaling suggested by Francfort and Pellat [1976> is confirmed analytically. ¿ 1997 American Geophysical Union