  Let $S_g$ be the closed oriented surface of genus g and let $\text{Mod}(S_g)$
be the mapping class group. When the genus is at least 3, $\text{Mod}(S_g)$ can
be generated by torsion elements. We prove the follow results. For $g \geq 4$,
$\text{Mod}(S_g)$ can be generated by 4 torsion elements. Three generators are
involutions and the forth one is an order 3 element. $\text{Mod}(S_3)$ can be
generated by 5 torsion elements. Four generators are involutions and the fifth
one is an order 3 element.
