The authors present a study of the effects of the non-local dependence of the exchange and correlation energy in the Wigner crystallisation of an electron system. Calculations are made in the density functional formalism, using the functional models recently developed by themselves. The non-local treatment gives higher values of r_s for the transition than does the LDA, improving the comparison with computer simulations. Moreover, the unphysical shapes of the density distribution given by the LDA are completely corrected by their non-local model.