Using the membrane model which is based on the brick-wall model, we have ca
lculated the free energy and entropy of the Vaidya-Bonner black hole due to
fermion fields. The result shows that the entropy of the Vaidya-Bonner bla
ck hole is exactly proportional to the area of its event horizon. The relat
ionship between the entropy and event horizon in such a non-static case is
just the same as that in a static or stationary cases.