Said at least one connecting textile sleeve and the protective textile sleeve each comprise at least one electrically non-conductive yarn and at least one electrically conductive yarn.

The hollow textile sleeves have each a substantially tube shape so that it is possible, at rest and therefore without stress, to measure their outer diameter.

The textile sleeves are flexible so that they can be folded and their cross sections can be substantially deformed in a reversible manner, with or without expansion, so as to conform to the shape of the elongate elements and the connectors.

Preferably, the connecting sleeve has a longitudinal axis L2 and the protective sleeve has a longitudinal axis L1, the connecting sleeve and the protective sleeve are coaxial. The axes L1 and L2 are thus preferably coincident.

Said yarn(s) in the present invention (electrically conductive or not) may be a monofilament yarn, a fiber spun yarn or a multifilament yarn.

The shielding device can be used in the following industries: aeronautical, automotive, aerospace, railway, marine industries, the telecommunications, the household appliances, the electrical generators and transformers, the lighting, and especially in automotive, aeronautical and railway industries.

The electromagnetic shielding device according to the invention has the function of protecting the electric cables from external mechanical attacks, but also from electromagnetic interferences.