Abstract: We study a model of multi-excited random walk on a regular tree which generalizes the models of the once excited random walk and the digging random walk introduced by Volkov (2003). We show the existence of a phase transition of the recurrence/transience property of the walk. In particular, we prove that the asymptotic behavior of the walk depends on the order of the excitations, which contrasts with the one dimensional setting studied by Zerner (2005). Special attention is given to the cases of the once excited, the twice excited and the digging random walk where explicit criterions, depending on the initial cookie environment, are provided to determine whether the walk is recurrent or transient.