High reliability electrical connections between a helical strand and flat electrodes, such as strip electrodes found in implantable neurostimulator systems, are described. The connection consists of a crimp joint in which an inside diameter mandrel is used to provided the coil with sufficient radial rigidity to ensure structural integrity of the crimp. The mandrel is made of a relatively soft biocompatible material that deforms rather than damages the fine wires of the helical strand during crimping. The crimp is accomplished by radial deformation of an annular or semi-annular crimping member that receives the helical strand/mandrel assembly.