An influence of static external electric and magnetic fields on donor states in a quantum well is studied by variational means. The energies of the s and 2p± hydrogenic states were calculated for different structure parameters (well depth and width) and different fields applied. The calculated s-2p± transition energies agree well with experimental data.PACS numbers: 73.20. Dx, 73.20.Hb An application of the static external electromagnetic fields to doped heterostuctures changes the structure of the donor levels in a rather wide range of energy. The application of the magnetic field is of cucial importance in experiments on donors because it lifts the degeneracy of donor states; therefore, the transition energies can be easily measured [1]. There is a number of theoretical papers dealing with the magnetic-field effect on doped heterostuctures, e.g., [2][3][4]. The theoretical study of the influence of the electric field alone on the donor levels in quantum wells (QW) has been presented in the papers [5,6]. Yoo et al. [7] have performed a far-infrared magnetoabsorption experiment to investigate the influence Of both the electric and magnetic fields on the donor states in the GaΑs/Ga1-xAlx Αs QW structure. A theoretical description of the experimental results [7] has been proposed by Latge et al. [8], who applied the single exponential-type trial function. However, the comparison with the experiment [7] does not look satisfactorily, especially for large magnetic fields. In the present paper we have proposed the trial wave function in the form of linear combination of Gaussians. For comparison, we have also performed the calculations using the single exponential-type trial wave function.We consider a hydrogenic model of a donor impurity located in a quantum well of depth VB and thickness L. The electric and magnetic fields are applied along the growth axis (z axis). The donor ionization by the electric field is neglected. In the donor units, i.e. the donor Bohr radius as a unit of length and the donor (915)