In this article, in the framework of an analytical approach and with help of
the generalized version of the Hurwitz transformation the five--dimensional
bound system composed of the Yang monople coupled to a particle of the isospin
by SU(2) and Coulomb interaction is constructed from the eight-dimensional
quantum oscillator. The generalized Runge-Lentz vector and the SO(6) group of
the hidden symmetry are established. It is also shown that group of hidden
symmetry makes it possible to calculate the spectrum of system by a pure
algebraic method.