Starting from the Klein-Gordon equation, we calculate the entropy of Schwar
zschild-de Sitter black hole in non-thermal-equilibrium by using the improv
ed brick-wall method-membrane model. When taking the proper cutoff in the o
btained result, we obtain that both black hole's entropy and cosmic entropy
are proportional to the areas of event horizon. We avoid the logarithmic t
erm and stripped term in the original brick-wall method. It offers a new wa
y of studying the entropy of the black hole in non-thermal-equilibrium.