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In this paper we investigate gravitational perturbations of a regular blackhole, particularly Bardeen solution. Such system is solution of Einsteinequations that do not have a singularity at the origin of the radial symmetry.However it still have events horizons depending on the values of thecharacteristic parameters of the solution. When a black hole is perturbed, itoscillates. It gives rise to damped vibrating modes which are known asquasinormal modes. It is calculated the quasinormal frequencies of a regularblack hole using the third order WKB approximation for gravitationalperturbations. The results are presented in tables I, II and III.

On Quasinormal Modes for Gravitational Perturbations of Bardeen Black Hole