In this paper we are searching whether the wormhole solutions exists in
different dimensional non- commutative inspired spacetimes. It is well known
that the noncommutativity of the space is an outcome of string theory and it
replaced the usual point like object by a smeared object. Here we have chosen
Lorentzian distribution as the density function in the noncommutative inspired
space- time. We have observed that the wormhole solutions exist only in four
and five dimension, however, higher than fine dimension no wormhole exists. For
five dimensional spacetime, we get a wormhole for a restricted region. In usual
four dimensional spacetime, we get a stable wormhole which is asymptotically
flat.Comment: 13 pages,23 figures, Accepted in European Physical Journal