The present invention is a modular garment having: a thick and relatively inflexible protective first garment, intended for optional wear; and an electronic garment having a flexible central part at the back and two side parts; the width of the central part is adjustable so that it can be made narrow or wide (depending on whether the electronic garment is worn on its own or over the first garment); several electrical and/or electronic devices are supported by the side parts; and at least one electrical cable runs across the inside face of the electronic garment between the electrical devices, the at least one electrical cable being attached to the side parts without being attached to the central part in front of which it runs freely along a curved path so as to be able to adapt to the modifications in the width of the central part.