M. A. Akyol and R. Sarı [On semi-slant ξ ⊥-Riemannian submersions, Mediterr. J. Math. 14(6) (2017) 234.] defined semi-slant ξ ⊥ −Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. As a generalization of the above notion and natural generalization of anti-invariant ξ ⊥ −Riemannian submersions, semi-invariant ξ ⊥ −Riemannian submersions and slant submersions, we study hemi-slant ξ ⊥ −Riemannian submersions from Sasakian manifolds onto Riemannian manifolds. We obtain the geometry of foliations, give some examples and find necessary and sufficient condition for the base manifold to be a locally product manifold. Moreover, we obtain some curvature relations from Sasakian space forms between the total space, the base space and the fibres