  In this paper we investigate the Cauchy problem of d-dimensional
Euler-Poincar\'{e} equations. By choosing a class of new and special initial
data, we can transform this d-dimensional Euler-Poincar\'{e} equations into the
Camassa-Holm type equation in the real line. We first obtain some global
existence results and then present a new blow-up result to the system under
some different assumptions on this special class of initial data.
