Using the hydrogenic-effective-mass theory, the spectral structure is calculated employing a linear variational method and presented for a hydrogenic shallow donor in a spherical quantum dot of GaAs-Ga１－ｘＡｌｘAs with the donor ion located at arbitary position. It is an extension of the calculation in Ref.10. The quantum-level sequence and degeneracy for the single electron state in the dot are discussed. Results of calculations indicate that the quantum-level structures depend on the dot radius and the ion position apparently, and that it is important to choose a proper set of base functions in the calculation.