Magnetic realignment and rotational diffusion of cylindrical egg lecithin vesicles were measured under a phase contrast microscope. The anisotropy of magnetic susceptibility times membrane thickness was calculated from the data for several thin-walled vesicles. The resulting values were assigned to discrete numbers of bilayers. The difference between the susceptibilities parallel and perpendicular to the long axes of the lecithin molecules is deduced to be X parallel - X perpendicular = -(0.28 +/- 0.02) . 10(-8) cgs at 23 degrees C, if a bilayer thickness of 60 A is assumed.