Device for twisting together end areas (11) of a number of wires (12), the device comprising a rotatable twister module (3) which includes an axial cavity (9) for receiving, the wire areas to be twisted together, wherein the cavity includes an operational area which is provided with one eccentric twister cam (13) extending from the bottom side over a fraction of the axial length of the operational area and having transverse dimensions allowing the end parts (14) of all of the wire areas (11) to be twisted together. Preferably, the device includes, additionally, a stripper module (2), arranged for stripping the end areas (11) of wires surrounded by a cover or coating layer over a. predetermined stripping length before subsequently twisting those stripped wire areas by inserting them into the twister module (3) and rotating it around its axis.