  We study the $q$-deformed su(2) spin network as a 3-dimensional quantum
gravity model. We show that in the semiclassical continuum limit the
Turaev-Viro invariant obtained recently defines naturally regularized
path-integral $\grave{\rm a}$ la Ponzano-Regge, In which a contribution from
the cosmological term is effectively included. The regularization dependent
cosmological constant is found to be ${4\pi^2\over k^2} +O(k^{-4})$, where
$q^{2k}=1$. We also discuss the relation to the Euclidean Chern-Simons-Witten
gravity in 3-dimension.
