  The effect of suppression of static magnetization of an anisotropic hard
superconductor by alternating magnetic field is analyzed theoretically. The
magnetic moment suppression dynamics is described with respect to the
magnetization loop of the superconductor. It is found that in some cases the
magnetic moment varies nonmonotonically with the growth in amplitude
$\mathrm{h}$ of the alternating field. Effect of transition, induced by
$\mathrm{\mathbf{h}}(t)$, of superconductor form paramagnetic into the
diamagnetic state is considered. The amplitude of alternating magnetic field
$\mathrm{h}_{c}(\delta,\vartheta)$ for which the complete suppression of the
magnetization occurs is calculated as the function of anisotropy parameter
$\delta$ and it orientation angle $\vartheta$ with respect to the
crystallographic axes of the sample.
