We prove Mahler’s conjecture concerning the volume product of centrally symmetric, convex bodies in $\mathbb{R}^{n}$ in the case where $n=3$ . More precisely, we show that, for every $3$ -dimensional, centrally symmetric, convex body $K\subset\mathbb{R}^{3}$ , the volume product $|{K}||{K^{\circ}}|$ is greater than or equal to $32/3$ with equality if and only if $K$ or $K^{\circ}$ is a parallelepiped.