A cable holder including a frame having a plurality of resiliently flexible trays arranged in a column. A top surface of one of the plurality of trays and the bottom surface of another of the plurality of trays immediately positioned above it forms a pocket that is sized and shaped to receive at least one cable. Each of the trays includes at least one low rail extending from the top surface thereof, and the remainder of the trays includes at least one high rail extending from the bottom surface thereof. A clip is secured to the frame for attachment to a bracket. The trays are depressed to open the pocket, enabling insertion of one or more cables therein or removal therefrom. The resiliency of the trays along with the low rails and high rails deform the cables to form slight bends therein to prevent side-to-side movement or slippage of the cables.