  We compute the quasinormal modes (QNMs) of a massive scalar field in the
background of a rotating three-dimensional Ho\v{r}ava AdS black hole, and we
analyze the effect of the breaking of the Lorentz invariance on the QNMs.
Imposing on the horizon that there are only ingoing waves and at infinity the
Dirichlet boundary conditions and the Neumann boundary condition, we calculate
the oscillatory and the decay modes of the QNMs. We find that the propagation
of the scalar field is stable in this background and employing the holographic
principle we find the different times of the perturbed system to reach thermal
equilibrium for the various branches of solutions.
