  We study the three-dimensional Minimal Massive Gravity (MMG) in the
Hamiltonian formalism. Canonical expressions for the asymptotic conserved
charges are derived by defining the canonical gauge generators. Specifically,
the construction of asymptotic structure of MMG requires to introduce suitable
boundary conditions. For instance, the application of this procedure is done
for the BTZ black hole as a solution to the MMG field equations. The related
conserved charges give the energy and angular momentum of the BTZ black hole.
We also show that the Poisson bracket algebra of the improved canonical gauge
generators produces an asymptotic gauge group which includes two separable
versions of Virasoro algebras. Finally, we calculate the entropy of black hole
from Cardy formula using the parameters of the boundary conformal field theory
and show the result is consistent with the value obtained from Smarr one.
