Abstract
In this paper, we define surfaces of revolution without parabolic points in three-dimensional Lorentz-Minkowski space. Then, we classify this class of surfaces under the condition Delta(III)x=Ax, where Delta(III) is the Laplace operator regarding the third fundamental form, and A is a real square matrix of order 3. We prove that such surfaces are either catenoids or surfaces of Enneper, or pseudo spheres or hyperbolic spaces centered at the origin.