2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/213734In this paper, by the studying of the Gauss map, Laplacian operator, curvatures of surfaces in $\mathbb{R}_{1}^{3}$ and Bour's theorem, we are going to identify surfaces of revolution with pointwise 1-type Gauss map property in $3-$dimensional Minkowski space.The results are the same as the 4th version (complete version). Just the Latex style is changedDifferential Geometry53A10; 53A35; 53B25; 53C50text