  In this paper we investigate codimension one Fano distributions on Fano
manifolds with Picard number one. We classify Fano distributions of maximal
index on complete intersections in weighted projective spaces, Fano contact
manifolds, Grassmannians of lines and their linear sections, and describe their
moduli spaces. As a consequence, we obtain a classification of codimension one
del Pezzo distributions on Fano manifolds with Picard number one.
