In this study, we investigate the geodesic motion of a test particle around a Schwarzschild black hole in the background of \(\kappa \) -space-time. Significant deformation is observed in particle orbits due to the noncommutativity of spacetime, especially at higher angular momentum, resulting in smaller radii and decreased velocities compared to the commutative case. Despite these modifications, the radius of the innermost stable circular orbit ( \(r_{ISCO}\) ) remains unchanged. We also study a large number of freely streaming particles in this non-commutative spacetime, focusing on those with different angular momenta. The results show that due to the noncommutativity of spacetime, the particles remain closer to the black hole for longer periods.