We study the influence of the site disorder in the long range order and in the spin transport in the two-dimensional Heisenberg antiferromagnet with ion-single anisotropy, in the square lattice in T=0 using the SU(3) Schwinger boson theory. We analyze these properties in the regime of Bose–Einstein condensation, where the bosons tz are condensed: 〈tz〉=〈tz†〉=t. In particular, we discuss the influence of the site disorder in the spin transport of this model and in the critical properties, where Dc separates Néel's phase, D<Dc, gapless phase, of the disordered phase, gapped phase, D>Dc, in the spin conductivity. We find that the behavior of the long-range order for D<Dc in the model without impurities with the concentration of nonmagnetic impurities does not affect the spin conductivity.