A method for producing an electrochemical bundle of a lithium battery, such as an Li-ion battery, with a view to electrically connecting same to the output terminals of the battery, wherein it includes the combination of two steps of folding an electrochemical bundle of a lithium battery which are carried out separately, i.e. a radial folding with plastic deformation and an axial compacting, which make it possible to obtain two separate areas on at least one, and preferably both, of the lateral ends of the bundle. The invention also concerns a method for producing an electrical connection part between the electrochemical bundle and one of the output terminals of the battery, and an associated current collector.