  We consider the Generalized Minimal Massive Gravity (GMMG) model in the first
order formalism. We show that all the solutions of the Einstein gravity with
negative cosmological constants solve the equations of motion of considered
model. Then we find an expression for the off-shell conserved charges of this
model. By considering the near horizon geometry of a three dimensional black
hole in the Gaussian null coordinates, we find near horizon conserved charges
and their algebra. The obtained algebra is centrally extended. By writing the
algebra of conserved charges in terms of Fourier modes and considering the BTZ
black hole solution as an example, one can see that the charge associated with
rotations along $\mathcal{Y}_{0}$ coincides exactly with the angular momentum,
and he charge associated with time translations $\mathcal{T}_{0}$ is the
product of the black hole entropy and its temperature. As we expect, in the
limit when the GMMG tends to the Einstein gravity, all the result we obtain in
this paper reduce to the result of the paper \cite{5}.
