In this paper, we introduce the notions of $\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points for a sequence in probabilistic normed spaces and study some basic properties of the sets of all $\mathcal{I}$-statistical limit points and $\mathcal{I}$-statistical cluster points of a sequence in probabilistic normed spaces including their interrelationship. Also, using the additive property of $\mathcal{I}$-asymptotic density zero sets, we establish $\mathcal{I}$-statistical analogue of some previous results.