A constitutive equation has been derived Brownian dynamics model of reversible network of FENE dumbbells. In this model, network of polymer molecules is modeled into two fractions (active and dangling) of dumbbells, while creation and destruction of network junctions are represented by association and dissociation processes. We show that with appropriate choice of association and dissociation functions, the newly derived constitutive equation can be used to predict rheological properties of both associative and non associative polymeric fluids.