A cable connector, in particular a multipolar cable connector, for connecting a multi-core stranded cable is provided. The connector has a plug part which has several contact elements formed as contact bars. The connector further has a cable uptake which has a strand support element for receiving the strands of the multi-core stranded cable. The strand support element has pivotally mounted hook elements, which clamp and affix the strands introduced into the strand support element between the hook elements pivoted in the direction of the strands and an interior wall of the strand support element by means of a pivot movement in an assembled condition.