Abstract: Cable-clamping device for a synthetic fiber cable. A cable-clamping device for highly loaded synthetic fiber cables for elevator installations, wherein the cables can tolerate only small lateral pressures, the device including at least one retaining drum firmly connected with the elevator car and the elevator counterweight, with the retaining drum having several adjacent cable grooves, whose groove courses end or run out adjacently to the other for the running-off of the cables, with the cable grooves becoming progressively narrower in their cross-section starting at the entry of the loaded cable, with up to four and more retaining drums being arranged, one behind and beside the other, in this manner, wherein the run-off regions of the cable grooves point towards one another in order to avoid a fanning-out of the cables in front of the drive pulley.