In a connection assembly comprising a male contact and a female contact, the female contact comprises a plurality of elastic blades extending longitudinally along a central axis parallel to a direction of insertion. Each of these blades comprises two bent contact zones to form, respectively, a first and a second contact surfaces that are convex and essentially oriented towards the central axis on each of these bent zones. The first contact surface is situated closer than the second contact surface to the free end of the blade on which they are formed.