  In this paper, we have determined the orbit spaces of free involutions on a
finitistic space having mod 2 cohomology of the product of three spheres
$\mathbb{S}^n\times \mathbb{S}^m \times \mathbb{S}^l, 1 \leq n \leq m \leq l$.
This paper generalizes the results proved by Dotzel et al. [6] for free
involutions on the product of two sphere $\mathbb{S}^n \times
\mathbb{S}^m,1\leq n\leq m.$
