The process according to the invention can be used for glass pipe reinforcement in order to extend the fields of application of glass pipelines. The object is to propose a highly productive, material-saving reinforcing process and the continuous shaping thereof with little stressing of the glass pipe and a high reinforcing effect. The solution according to the invention provides for partial lengths of the glass pipes to be forcibly pushed at their centre axis end to end through round mesh-forming machines. The force necessary in this direction for forming the mesh is applied. The sheathing takes place with high filament tension.