  For the system with the n-component order parameter (O(n)-model), conditions
for initiation of the Imry-Ma disordered state resulting from the influence of
defects of the "random local anisotropy" type were discovered. The initiation
of such a state was shown to be possible if the distribution of local
anisotropy axes directions in the order parameter space is nearly isotropic,
and the limiting degree of the distribution anisotropy was found. For a higher
anisotropy in the distribution of local axes directions, the long-range order
in the system holds true even in the presence of defects of the given type.
