  We study scalar perturbations of four dimensional topological nonlinear
charged Lifshitz black holes with spherical and plane transverse sections, and
we find numerically the quasinormal modes for scalar fields. Then, we study the
stability of these black holes under massive and massless scalar field
perturbations. We focus our study on the dependence of the dynamical exponent,
the nonlinear exponent, the angular momentum and the mass of the scalar field
in the modes. It is found that the modes are overdamped depending strongly on
the dynamical exponent and the angular momentum of the scalar field for a
spherical transverse section. In constrast, for plane transverse sections the
modes are always overdamped.
