  We consider three-dimensional gravity based on torsion. Specifically, we
consider an extension of the so-called Teleparallel Equivalent of General
Relativity in the presence of a scalar field with a self-interacting potential,
where the scalar field is non-minimally coupled with the torsion scalar. Then,
we find asymptotically AdS hairy black hole solutions, which are characterized
by a scalar field with a power-law behavior, being regular outside the event
horizon and null at spatial infinity and by a self-interacting potential, which
tends to an effective cosmological constant at spatial infinity.
