Battery temperature control arrangement, in particular for a motor vehicle, comprising; - an electric battery, - a temperature control device for controlling the temperature of the battery, which has at least one temperature control element which is in heat-exchanging contact with an underside of the battery, - a pressing element, which is arranged on the side of at least one such temperature control element facing away from the underside and pretensions at least one such temperature control element in the direction of the underside, - wherein at least one tension element is arranged on the underside, on a side facing the pressing element and - wherein the pressing element has a clamp means corresponding to the tension element, which forms a tension device together with the tension element, which pretensions the pressing element in the direction of the underside, characterised in that - the tension element is formed as a step shaft with a defined undercut and - the clamp means is formed as a resilient clamp element which is held on the step shaft in a non-positive and positive manner and in particular latches with the step shaft, - the clamp element has two resilient semicircles spaced apart from one another and facing one another to hold the step shaft, or - the tension element is formed as a first metal sheet strip, in particular with at least one engagement bead protruding there in the direction of the clamp means, - the clamp means has a perforation corresponding to the first metal sheet strip or to such an engagement bead and - the first metal sheet strip or such an engagement bead is operatively connected in a non-positive and positive manner to the clamp means, or - the tension element is formed as a second metal sheet strip with engagement elements protruding there, which have an undercut and - the clamping means has a perforation corresponding to the engagement elements, which allows a non-positive and positive reception of the engagement elements. - an electric battery, - a temperature control device for controlling the temperature of the battery, which has at least one temperature control element which is in heat-exchanging contact with an underside of the battery, - a pressing element, which is arranged on the side of at least one such temperature control element facing away from the underside and pretensions at least one such temperature control element in the direction of the underside, - wherein at least one tension element is arranged on the underside, on a side facing the pressing element and - wherein the pressing element has a clamp means corresponding to the tension element, which forms a tension device together with the tension element, which pretensions the pressing element in the direction of the underside, characterised in that - the tension element is formed as a step shaft with a defined undercut and - the clamp means is formed as a resilient clamp element which is held on the step shaft in a non-positive and positive manner and in particular latches with the step shaft, - the clamp element has two resilient semicircles spaced apart from one another and facing one another to hold the step shaft, or - the tension element is formed as a first metal sheet strip, in particular with at least one engagement bead protruding there in the direction of the clamp means, - the clamp means has a perforation corresponding to the first metal sheet strip or to such an engagement bead and - the first metal sheet strip or such an engagement bead is operatively connected in a non-positive and positive manner to the clamp means, or - the tension element is formed as a second metal sheet strip with engagement elements protruding there, which have an undercut and - the clamping means has a perforation corresponding to the engagement elements, which allows a non-positive and positive reception of the engagement elements.