A plug-and-socket device includes a plug pin, and a contact sleeve having a cavity extending in a direction of an insertion axis for receiving the plug pin. The contact sleeve includes at least two contact fingers arranged in parallel relationship to one another around the cavity and configured to move elastically apart while expanding the cavity when the plug pin is inserted. At least one of the at least two contact fingers is formed on an inner side in facing relation to the cavity with at least one depression which lies in a contact surface on the inner side and defines with the contact surface an edge angle of less than approx. 100°. The contact surface represents on the inner side of the contact finger a surface which comes into contact with the plug pin, when the plug pin is inserted.