  By studying ``points of the underlying quantum groups''of coquasitriangular
Hopf (face) algebras, we construct ribbon categories for each lattice models
without spectral parameter of both vertex and face type. Also, we give a
classification of the braiding and the ribbon structure on quantized classical
groups and modular tensor categories closely related to quantum
SU(N)_L-invariants of 3-manifolds.
