  In this paper we study the $(2+1)$-dimensional Klein-Gordon oscillator
coupled to an external magnetic field, in which we change the standard partial
derivatives for the Dunkl derivatives. We find the energy spectrum (Landau
levels) in an algebraic way, by introducing three operators that close the
$su(1,1)$ Lie algebra and from the theory of unitary representations. Also we
find the energy spectrum and the eigenfunctions analytically, and we show that
both solutions are consistent. Finally, we demonstrate that when the magnetic
field vanishes or when the parameters of the Dunkl derivatives are set zero,
our results are adequately reduced to those reported in the literature.
