 The paper presents a calculation of exciton states in semiconductor-coupled quantum wells under electric and magnetic fields perpendicular to the QW plane. The land or levels of both direct and indirect excitons are obtained by solving the exciton Schrodinger equation in real space in three dimensions. The paper calculates the exciton energy levels, oscillator strengths, bow radius, optical lifetime, binding energy, dipole moment, and predicts a non-monotonous dependence of the exciton ground state effective mass on magnetic field. This article was authored by J Wilkes and E. A. Moldorov.