  In this paper, we examine the harmonic oscillator problem in non-commutative
phase space (NCPS) by using the Dunkl derivative instead of the habitual one.
After defining the Hamilton operator, we use the polar coordinates to derive
the binding energy eigenvalue. We find eigenfunctions that correspond to these
eigenvalues in terms of the Laguerre functions. We observe that the
Dunkl-Harmonic Oscillator (DHO) in the NCPS differs from the ordinary one in
the context of providing additional information on the even and odd parities.
Therefore, we conclude that working with the Dunkl operator could be more
appropriate because of its rich content.
