The magnetization of permalloy films of 0.1 to 0.3 &mgr; thickness vacuum‐deposited in a magnetic field is reversibly rotated by a pulsed external field applied at right angles to the direction of easy magnetization. The total angle of rotation is deduced from the amplitude of the detected signal or from the strength of the applied drive field. Reversible rotations of 60° or more are repeated for at least 108cy in some films. An excessive drive field results in a loss of remanent magnetization after a few rotations. High wall‐motion coercivity is a necessary but not sufficient condition for large reversible rotation angles. Films giving a large rotation tend to have open hysteresis loops in the difficult direction.