  The evaluation formula for an elliptic beta integral of type $G_2$ is proved.
The integral is expressed by a product of Ruijsenaars' elliptic gamma
functions, and the formula includes that of Gustafson's $q$-beta integral of
type $G_2$ as a special limiting case as $p\to 0$. The elliptic beta integral
of type $BC_1$ by van Diejen and Spiridonov is effectively used in the proof of
the evaluation formula.
