  Noncommutativity is an idea dating back to the early times of Quantum
Mechanics and that string theory induced noncommutative (NC) geometry which
provides an effective framework to study short distance spacetime dynamics.
Also, string theory, a candidate for a consistent quantum theory of gravity,
admits a variety of classical black hole solutions including black strings. In
this paper, we study a NC geometry inspired rotating black string to
cylindrical spacetime with a source given by a Gaussian distribution of mass.
The resulting metric is a regular, i.e. curvature-singularity free, rotating
black string, that in large $r$ limit interpolates Lemos \cite{lemos96} black
string. Thermodynamical properties of the black strings are also investigated
and exact expressions for the temperature, the entropy and the heat capacity
are obtained. Owing to the NC correction in the solution, the thermodynamic
quantities have been also modified and that the NC geometry inspired black
string is always thermodynamically stable.
