  We construct quantization of semisimple conjugacy classes of the exceptional
group $G=G_2$ along with and by means of their exact representations in highest
weight modules of the quantum group $U_q(\mathfrak{g})$. With every point $t$
of a fixed maximal torus we associate a highest weight module $M_t$ over
$U_q(\mathfrak{g})$ and realize the quantized polynomial algebra of the class
of $t$ by linear operators on $M_t$. Quantizations corresponding to points of
the same orbit of the Weyl group are isomorphic.
