First, we show the finiteness property of the homotopy fixed point set of p-discrete toral group. Let $G_infty$ be a p-discrete toral group and X be a finite complex with an action of $G_infty such that X^K$ is nilpotent for each finit p-subgroup K of $G_infty$. Assume X is $F_ ho-complete$. Then X(sup)hG$infty$ is F(sub)p-finite. Using this result, we give the condition so that X$^{hG}$ is $F_ ho-finite for ho-compact$ toral group G.