  In this paper, we consider the Camassa-Holm equation posed on the periodic
domain $\mathbb{T}$. We show that Camassa-Holm equation is globally
approximately controllable by three dimensional external force in
$H^s(\mathbb{T})$ for $ s > \frac{3}{2}$ . The proof is based on
Agrachev-Sarychev approach in geometric control theory.
