  We study the general parity-preserving model of three-dimensional gravity
with propagating torsion, with a focus on its nonlinear dynamics in the AdS
sector. The model is shown to posses the black hole with torsion as a vacuum
solution, provided we adopt certain restrictions on its coupling constants. The
canonical analysis in the AdS asymptotic region yields the conserved charges of
the black hole and the central charges of the asymptotic conformal symmetry.
