<p>The purpose of this research paper is to study the dynamical properties of stochastic prey-predator model with with Beddington-DeAngelis functional response. The Beddington-DeAngelis functional response very less different from Holling-II functional response but an extra term involve in it which describe the mutual interference by mid level and super predators. The dynamical analysis of the model are studied by the stability of ergodic invariant measures on invariant subsets. The dynamic bifurcation is used for the study of statistic bifurcation phenomenon of the model. The intra-specific competition among the the species are also considered. The environmental noise is examined as the driving fore produced by environment can take the extinction of all species or one or two species. The all results are verified by numerical simulations.</p>