  In this work, we investigate the near horizon and asymptotic symmetries of
static and rotating hairy$-$AdS black hole in the framework of general minimal
massive gravity. We obtain energy, angular momentum and entropy of the
solutions. Then we show that our results for these quantities are consistent
with the first law of black hole thermodynamics. By considering the near
horizon geometry of black hole, we find near horizon conserved charges and
their algebra. By writing the algebra of conserved charges in terms of Fourier
modes we have obtained the conserved charges in terms of zero modes.
