  Here we investigate the holographic dark energy model in the framework of FRW
cosmology where the Newtonian gravitational constant,$G$, is varying with
cosmic time. Using the complementary astronomical data which support the time
dependency of $G$, the evolutionary treatment of EoS parameter and energy
density of dark energy model are calculated in the presence of time variation
of $G$. It has been shown that in this case, the phantom regime can be achieved
at the present time. We also calculate the evolution of $G$- corrected
deceleration parameter for holographic dark energy model and show that the
dependency of $G$ on the comic time can influence on the transition epoch from
decelerated expansion to the accelerated phase. Finally we perform the
statefinder analysis for $G$- corrected holographic model and show that this
model has a shorter distance from the observational point in $s-r$ plane
compare with original holographic dark energy model.
