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The influence of the temperature on the behavior of the step-induced magnetic anisotropy of the permalloy film is studied. The characteristic hysteresis loop, composed of the linear part and two smaller loops, is varied systematically with increasing temperature, toward a simple loop typical for easy axis. The temperature dependent anisotropy constants, calculated from the magnetic hysteresis loops, can be described by the l(l+1)/2 power law of the phenomenological model. The mechanism underlay may be associated with the completion of the energy of uniaxial anisotropy and cubic anisotropy for the magnetic reversal at the step edges and the terraces.