Abstract
We study a system of two branes in Normal Coordinates and derive the effective gravitational equations. The 4-dimensional generalized Einstein equations obtained are a generalization of the work of Shiromizu, Maeda and Sasaki [1] of a single brane system. We extend our work to the generalized n -dimensional case and then derive the cosmological equations which reduce to the classical Friedmann equations for the no-radion case of one brane.