Let M = {1, 2, ${ldots}$, n} and let V = {$I{subseteq}M:1{in}I$}. Denote MI by $I^c$ for $I{in}V$. The goal of this paper is to investigate the solution and the stability using the alternative fixed point of generalized cubic functional equation $ sumlimits_{I{in}V}f(sumlimits_{i{in}I}a_ix_i-sumlimits_{i{in}I^c}a_ix_i)=2{^{n-2}{a_1}}sumlimits_{i=2}^na_i^2[f(x_1+x_i)+f(x_1-x_i)]+2{^{n-1}{a_1}(a^2_1-sumlimits_{i=2}^2a^2_i)f(x_1)$ in ${eta}$-Banach modules on Banach algebras, where $a_1,{ldots},a_n{in}mathbb{Z}{ackslash}{0}$ with $a_1{ eq}={pm}1$ and $a_n=1$.