  In this work we present a gauge-invariant three-dimensional teleparallel
supergravity theory using the Chern-Simons formalism. The present construction
is based on a supersymmetric extension of a particular deformation of the
Poincar\'e algebra. At the bosonic level the theory describes a non-Riemannian
geometry with a non-vanishing torsion. In presence of supersymmetry, the
teleparallel supergravity theory is characterized by a non-vanishing
super-torsion in which the cosmological constant can be seen as a source for
the torsion. We show that the teleparallel supergravity theory presented here
reproduces the Poincar\'e supergravity in the vanishing cosmological limit. The
extension of our results to $\mathcal{N}=p+q$ supersymmetries is also explored.
