  Construction of representations of braid group generators from $N$-state
vertex models provide an elegant route to study knot and link invariants. Using
such a braid group representation, an algebraic formula for the link invariants
was put forth when the same spin $(N-1)/2$ are placed on all the component
knots. In this paper, we generalise the procedure to deduce representations of
braiding generators from bi-partite vertex models. Such a representation allows
the study of multi-colored link invariants where the component knots carry
different spins. We propose a multi-colored link invariant formula in terms of
braiding generators derived from $R$ matrices of bi-partite vertex models.
