In this work, we consider effects of the dynamical vacuum in quantum cosmology in presence of a minimum length introduced by the GUP (generalized uncertainty principle) related to the modified commutation relation [{hat{X}},{hat{P}}] := frac{ihbar }{ 1 - beta {hat{P}}^2 }. We determine the wave function of the Universe psi _{qp}(xi ,t), which is solution of the modified Wheeler–DeWitt equation in the representation of the quasi-position space, in the limit where the scale factor of the Universe is small. Although psi _{qp}(xi ,t) is a physically acceptable state it is not a realizable state of the Universe because psi _{qp}(xi ,t) has infinite norm, as in the ordinary case with no minimal length.