  This paper is aimed at investigating a 5D holographic dark energy in
DGP-BRANE cosmology by employing a combination of Sne Ia, BAO and CMB
observational data to fit the cosmological parameters in the model. We describe
the dynamic of a FRW for the normal branch ($\epsilon$ = +1) of solutions of
the induced gravity brane-world model. We take the matter in 5D bulk as
holographic dark energy that its holographic nature is reproduced effectively
in 4D. The cosmic evolution reveals that the effective 4D holographic dark
energy behaves as quintessence while taking into account the 4D cold dark
matter results in matter dominated universe followed by late time acceleration.
