Hatem NAJAR Asymptotic of the integrated density of states of acoustic operators with random long range perturbations (941K, postscript , dvi and pdf files.) ABSTRACT. In this paper we study the behavior of the integrated density of states of random acoustic operators of the form $A_{\omega}=-\grad \frac{1}{\varrho_{\omega}}\grad$. When $\varrho_{\omega}$ is considered as an Anderson type long range perturbation of some periodic function, the behavior of the integrated density of states of $A_{\omeag}$ in the vicinity of the internal spectral edges is given.