Abstract: The invention is directed to a connection system for two structural component parts (1, 10) which are constructed as pipe or rod and/or nodal elements and contain connection ends (7, 15) having front recesses. An angle element (22) with a spherical surface (23) at which the two ends of a through-passage (32) penetrating the angle element (22) open out serves to adjust a multitude of angles (.alpha.) between the structural component parts (1, 10), which angles (.alpha.) can be changed preferably between preselected limits. The connection ends (7, 15) are provided in the area of the joint faces (24, 25) with contact surfaces (27, 28) adapted to the spherical surface (23) so that fine, hardly visible joint faces (24, 25) are formed between the structural component parts (1, 10) and the angle element (22).