By using the Furnstahl, Serot and Tang’s model, the effect of density dependence of the effective nucleon-nucleon-&rgr;-meson (NN&rgr;) coupling on the liquid-gas phase transition in hot asymmetric nuclear matter is investigated. A limit pressureplimhas been found. We found that the liquid-gas phase transition cannot take place ifp>plim.The binodal surface for density dependent NN&rgr; coupling situation is addressed. ©2001 American Institute of Physics.