Based on the space meshing theory, it is proven that non-involute beveloid gears meshing with crossed axes can achieve to line contact. The meshing equation and tooth profile equation are presented by using meshing theory. A theoretical way is put forward to calculate the induced normal curvature along the normal direction of the contact line. Based on the space meshing theory, it is proven that non-involute beveloid gears meshing with crossed axes can achieve to line contact. The meshing equation and tooth profile equations are presented by using meshing theory. A theoretical way is put forward to calculate the induced normal curvature along the normal direction of the contact line.