  In Dunkl theory on $\mathbb{R}^{n}$ which generalizes classical Fourier
analysis, we study the solution of the Klein-Gordon-equation defined by:
\begin{eqnarray} \nonumber \partial_{t}^{2}u-\Delta_{k}u=-m^{2}u \ , \ \ \ u
(x,0)=g(x) \ , \ \ \ \partial_{t}u(x,0)=f(x) \end{eqnarray} with \ $m > 0$ \
and \ $\partial_{t}^{2}u$ \ is the second derivative of the solution $u$ with
respect to $t$ and $\Delta_{k}u$ is the Dunkl Laplacian with respect to $x$
where $f$ and $g$ the two functions in $\mathcal{S}(\mathbb{R}^{n})$ which
surround the initial conditions. We obtain an integral representation for its
solution which we gives some properties. As a specific result, we studied the
associated energies to the Dunkl-Klein-Gordon equation.
