  In this paper, we study locally strongly convex centroaffine hypersurfaces
with parallel cubic form with respect to the Levi-Civita connection of the
centroaffine metric. As the main result, we obtain a complete classification of
such centroaffine hypersurfaces. The result of this paper is a centroaffine
version of the complete classification of locally strongly convex equiaffine
hypersurfaces with parallel cubic form due to Hu, Li and Vrancken [12].
