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The magnetization reversal due to an applied pulse field of FeNi films (ca. 3 % Ni), which possess an isotropic square hysteresis loop, is studied. The results obtained on thick films (d > 2 µm) are in accordance with the concept of a wall parallel to the surface moving inwards. The motion of the wall is damped mainly by eddy currents. For thin films (d < 2 µm) magnetization reversal can be described by a relation analogous to an existing one which describes an isothermal phase transition. It follows that the number of directions in which the reversed domains can grow decreases with decreasing film thickness for a thickness below 1 µm. From this fact it is derived that the walls travel a distance of about 1 µm in this case, and a value for the damping coefficient α ࣈ 0.2 is obtained