Abstract: A group action on a closed Riemannian manifold is said to be weakly hyperbolic provided that a finite family of group elements act by partially hyperbolic diffeomorphisms with stable distributions jointly spanning the tangent bundle. Weakly hyperbolic integer actions are generated by an Anosov diffeomorphism, providing motivation for our two main results: 1) ergodicity of volume preserving weakly hyperbolic actions, and 2)weak hyperbolicity is inherited by the induced action on the fundamental group for volume preserving weakly hyperbolic actions (with a fixed point) of Kazhdan property (T) groups on tori. This work stems from Zimmer's program of classifying the volume preserving ergodic actions of lattices in higher rank Lie groups.