  We consider scalar and spinorial perturbations on a background described by a
$z=3$ three-dimensional Lifshitz black hole. We obtained the corresponding
quasinormal modes which perfectly agree with the analytical result for the
quasinormal frequency in the scalar case. The numerical results for the
spinorial perturbations reinforce our conclusion on the stability of the model
under these perturbations. We also calculate the area spectrum, which prove to
be equally spaced, as an application of our results.
