  We use Stein's method to provide non asymptotic $L^1$ bounds to the normal
for functionals of associated point processes. As for supporting tools, we use
the connection between association and $\alpha$-mixing properties that was
recently uncovered by [PDL17]. We apply our main results to determinantal point
processes which are known to be negatively associated. A potential application
to point processes in the Laguerre-Gaussian family is also presented.
