  For any affine Lie algebra ${\mathfrak g}$, we show that any finite
dimensional representation of the universal dynamical $R$ matrix ${\cal
R}(\lambda)$ of the elliptic quantum group ${\cal B}_{q,\lambda}({\mathfrak
g})$ coincides with a corresponding connection matrix for the solutions of the
$q$-KZ equation associated with $U_q({\mathfrak g})$. This provides a general
connection between ${\cal B}_{q,\lambda}({\mathfrak g})$ and the elliptic face
(IRF or SOS) models. In particular, we construct vector representations of
${\cal R}(\lambda)$ for ${\mathfrak g}=A_n^{(1)}$, $B_n^{(1)}$, $C_n^{(1)}$,
$D_n^{(1)}$, and show that they coincide with the face weights derived by
Jimbo, Miwa and Okado. We hence confirm the conjecture by Frenkel and
Reshetikhin.
