The variational procedure, in the effective-mass and parabolic-band approximations, is used in order to investigate the combined effects of hydrostatic pressure and in-planedirection-applied magnetic field on the exciton states in vertically coupled GaAs-(Ga, Al) As quantum dots. Calculations are performed for two cylindrical-shape quantum dots. The exciton envelope wave function is obtained through a variational procedure using a hydrogenic 1s-like wave function and an expansion in a complete set of trigonometric functions for the