  We consider J/Psi meson production in $ep$ deep inelastic scattering in the
colour singlet model using the k_T-factorization QCD approach. We investigate
the z-, Q^2-, p_T^2-, y^*- and W-dependences of inelastic J/Psi production on
different forms of the unintegrated gluon distribution. The p_T^2- and
Q^2-dependences of the J/Psi spin aligment parameter alpha are presented also.
We compare the theoretical results with recent experimental data taken by the
H1 and ZEUS collaborations at HERA. It is shown that experimental study of the
polarization J/Psi mesons at Q^2 < 1 {GeV}^2 is an additional test of BFKL
gluon dynamics.
