  The Ba\~{n}ados, Teitelboim and Zanelli \cite{BTZ1992}, black hole solution
is revamped from the Einstein field equations in (2 + 1)-dimensional anti-de
Sitter spacetime, in a context of noncommutative geometry \cite{Rahaman(2013)}.
In this article, we explore the exact gravastar solutions in three-dimension
anti-de Sitter space given in the same geometry. As a first step we derive BTZ
solution assuming the source of energy density as point-like structures in
favor of smeared objects, where the particle mass M, is diffused throughout a
region of linear size $\sqrt{\alpha}$ and is described by a Gaussian function
of finite width rather than a Dirac delta function. We matched our interior
solution to an exterior BTZ spacetime at a junction interface situated outside
the event horizon. Furthermore, stability analysis is carried out for the
dynamic case for the specific case when $\chi < 0. 214$ under radial
perturbations about static equilibrium solutions. To give theoretical support
we also trying to explore their physical properties and characteristics.
