We present a theoretical study of impurity-related photoluminescence of acceptor-doped GaAs± (Ga,Al)As superlattices under in-plane magnetic fields within the effective-mass approximation. An expansion in terms of sine functions is used in order to obtain electron and hole magnetic Landau levels whereas products of sine and hydrogenic-like variational functions are taken for the shallow-acceptor envelope wave functions. The magnetoluminescence lineshapes associated to transitions from the lowest Landau conduction subband to impurity states are calculated for an homogeneous distribution of acceptors throughout the semiconducting superlattice. We found quite good agreement between the theoretical acceptor-related magnetoluminescence peak positions for GaAs±(Ga,Al)As superlattices and available experimental data.The effects of magnetic fields on the electronic and optical properties of doped heterostructures and superlattices (SLs) have attracted both experimental and theoretical attention in the last decade or so [1 to 5]. The cyclotron motion of electrons in coupledwell GaAs±(Ga,Al)As SLs was experimentally investigated by Skromme et al. [2] via photoluminescence (PL) of conduction Landau levels-to-acceptor states in magnetic fields up to B = 12 T, applied either parallel or perpendicular to the interfaces. For parallel fields, a recent theoretical work by Latge  et al. [6] suggested that a quantitative understanding of the experimental measurements by Skromme et al. [2] should involve a full calculation of the acceptor-related magnetoluminescence lineshape with appropriate consideration of the effects of both the temperature and acceptor profile along the SL growth axis. So, in the present work we present a quantum-mechanical calculation of the magnetoluminescence spectra associated to transitions from the lowest Landau conduction subband to acceptor states in the case of coupled-well GaAs±(Ga,Al)As SLs under in-plane magnetic fields.We work within a parabolic band scheme to model both electron and hole levels, and use the 60%±40% rule for the band-gap discontinuity to describe the SL barrier potential. Also, we assume the GaAs values for the temperature-dependent energy gap, effective masses m c = 0.067m 0 and m v = 0.29m 0 for electrons and holes, respectively, with