  In this study, we investigate the effects of noncommutative Quantum Mechanics
in three dimensions on the energy levels of a charged isotropic harmonic
oscillator in the presence of a uniform magnetic field in the z-direction. The
extension of this problem to three dimensions proves to be non-trivial. We
obtain the first-order corrections to the energy-levels in closed form in the
low energy limit of weak noncommutativity. The most important result we can
note is that all energy corrections due to noncommutativity are negative and
their magnitude increase with increasing Quantum numbers and magnetic field.
