In our previous work [Chin.Phys.Lett.35 (2018)010410],the quasinormal modes of massless scalar field perturbation in a noncommutative-geometry-inspired Schwarzschild black hole spacetime are studied using the third-order Wentzel Kramers Brillouin approximative approach.In this study,we extend the work to the cases of gravitational,electromagnetic and massless Dirac perturbations.The result further confirms that the noncommutative parameter plays an important role for the quasinormal frequencies.