  In this paper, we explore static spherically symmetric wormhole solutions in
the framework of $n$-dimensional Einstein Gauss-Bonnet gravity. Our objective
is to find out wormhole solutions that satisfy energy conditions. For this
purpose, we consider two frameworks such as Gaussian distributed and Lorentzian
distributed non-commutative geometry. Taking into account constant redshift
function, we obtain solutions in the form of shape function. The fifth and
sixth dimensional solutions with positive as well as negative Gauss-Bonnet
coefficient are discussed. Also, we check the equilibrium condition for the
wormhole solutions with the help of generalized Tolman-Oppenheimer-Volkov
equation. It is interesting to mention here that we obtain fifth dimensional
stable wormhole solutions in both distributions that satisfy the energy
conditions.
