A q-analogue of the D-dimensional harmonic oscillator is presented. A new r
ealization of the quantum algebra SUq(I,1) via the D-dimensional q-harmonic
oscillator is found. A model of the d-dimensional q-hydrogen atom is const
ructed by means of the D-dimensional q-harmonic oscillator. The dimension D
of the q-harmonic oscillator and the dimension d of the q-hydrogen atom ar
e arbitrary.