A suspension member arrangement for an elevator includes a suspension member having a plurality of electrically conductive load-bearing cords commonly embedded in an electrically isolating matrix material, a first connector and a second connector each attached to the suspension member and electrically contacting the cords within the suspension member in a contacted end region thereof. The first connector electrically contacts and electrically interconnects in parallel a first group of the cords being a first plurality of directly neighboring ones of the cords. The second connector electrically contacts and electrically interconnects in parallel a second group of the cords being a second plurality of directly neighboring ones of the cords. The suspension member arrangement facilitates electrically contacting the cords of the suspension member using a simple type of connector whereby deteriorations in characteristics of the suspension member can be electrically detected with high accuracy.