  In this paper a Banados, Teitelboim and Zanelli (BTZ) black hole is
constructed from an exact solution of the Einstein field equations in a
(2+1)-dimensional anti-de Sitter spacetime in the context of noncommutative
geometry. The BTZ black hole turns out to have two horizons, no horizon or a
single horizon corresponding to a minimal mass. Certain thermodynamical
properties are investigated, including Hawking temperature, entropy and heat
capacity. Also discussed is the geodesic structure of BTZ black holes for both
massless and massive particles. In particular, it is shown that bound orbits
for test particles are possible.
