  We consider the early Universe scenario which allows for production of
non-Gaussian curvature perturbations at small scales. We study the
peculiarities of a formation of primordial black holes (PBHs) connected with
the non-Gaussianity. In particular, we show that PBH constraints on the values
of curvature perturbation power spectrum amplitude are strongly dependent on
the shape of perturbations and can significantly (by two orders of magnitude)
deviate from the usual Gaussian limit ${\cal P}_\zeta \lesssim 10^{-2}$. We
give examples of PBH mass spectra calculations and PBH constraints for the
particular case of the curvaton model.
