Using symplectic fibration, we give a geometric construction of non-degenerate triangular dynamical r-matrices. Quantization of a non-degenerate triangular dynamical r- matrix can be reduced to a deformation quantization problem for the corresponding symplectic manifold. In particular, when the base Lie algebra is Abelian, we solved the existence and classification problem for quantizations of a non-degenerate triangular dynamical r-matrix.