  This paper is concerned with the Liouville type theorems for the 3D
stationary incompressible Hall-MHD equations. We establish that under some
sufficient conditions in local Morrey spaces, solutions of the stationary
Hall-MHD equations are identically zero. In particular, we also prove Liouville
type results for the stationary incompressible MHD equations on $\mathbb{R}^3$.
Our theorems extend and generalize the classical results for the stationary
incompressible Navier-Stokes equations.
