  We introduce the notion of Dunkl positive definite and strictly positive
definite functions on $\mathbb{R}^{d}$. This done by the use of the properties
of Dunkl translation. We establish the analogue of Bochner's theorem in Dunkl
setting. The case of radial functions is considered. We give a sufficient
condition for a function to be Dunkl strictly positive definite on
$\mathbb{R}^{d}.$
