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In this paper, on the first, we prove $\Delta r=2H$ where $\Delta $ is theLaplacian operator, $r=\left( r_{1},r_{2},r_{3}\right) $ the position vectorfield and $H$ is the mean curvature vector field of a surface $\mathcal{S}$ inthe 3-dimensional Heisenberg group $H_{3}.$ In the second, we classify theruled surfaces by straight geodesic lines, which are of finite type in $H_{3}.$The straight geodesic lines belong to $\ker \omega ,$ where $\omega $ is theDarboux form.

Ruled surfaces of finite type in 3-dimensional Heisenberg group