The thermal entanglement in the spin-1 two-dimensional Heisenberg antiferromagnetic chain, with ion-single anisotropy, square lattice and in the neighborhood of critical anisotropy Dc is studied employing Schwinger bosons. In particular, we discuss the effect of the variation of the critical anisotropy Dc that separates the topological order of vortices for D<Dc from the disordered phase for D>Dc, on thermal entanglement. Furthermore, we analyze the effect of quantum phase transition described in the diagram Dc vs. J2 (second neighbors interactions ) on entanglement for a particular class of two-dimensional Heisenberg models which presents different exchange interactions Jx and Jy on x and y directions on square lattice.