We study the interbasis expansion of the wave-functions of the Kaluza-
Klein monopole system in the parabolic coordinate system with respect
to the spherical coordinate system, and vice versa. We show that the c
oefficients of the expansion are proportional to Clebsch-Gordan coeffi
cients. We analyse the discrete and continuous spectrum as well, brief
ly discuss the feature that the (reduced) Kaluza-Klein monopole system
is separable in three coordinate systems, and the fact that there are
five functionally independent integrals of motion, respectively obser
vables, a property which characterizes this system as super-integrable
.