  The aim of this paper is to prove a normal form Theorem for Dirac-Jacobi
bundles using the recent techniques from Bursztyn, Lima and Meinrenken. As the
most important consequence, we can prove the splitting theorems of Jacobi pairs
which was proposed by Dazord, Lichnerowicz and Marle. As an application we
provide a alternative proof of the splitting theorem of homogeneous Poisson
structures.
