By using the Furnstahl, Serot and Tang's model, the effect of density dependence of the effective nucleon-nucleon-rho -meson (NN rho) coupling on the liquid-gas phase transition in hot asymmetric nuclear matter is investigated. A limit pressure p(lim), has been found. We found that the liquid-gas phase transition cannot take place if p > p(lim). The binodal surface for density dependent NN rho coupling situation is addressed. (C) 2000 Published by Elsevier Science B.V.