  We investigate the holographic dark energy scenario with a varying
gravitational constant, in flat and non-flat background geometry. We extract
the exact differential equations determining the evolution of the dark energy
density-parameter, which include $G$-variation correction terms. Performing a
low-redshift expansion of the dark energy equation of state, we provide the
involved parameters as functions of the current density parameters, of the
holographic dark energy constant and of the $G$-variation.
