A cable harness (10) includes a plurality of electrical conductors (12) for the contacting of battery cells of a battery module as well as a film-shaped carrier element (14). The electrical conductors (12) are arranged for at least a portion in parallel with each other on the carrier element (14) and are joined to the carrier element (14). A flexible elongated hollow body (16) is arranged in parallel for at least a portion with at least one of the electrical conductors (12) and is joined to the carrier element (14). A battery module has a plurality of battery cells and at least one cable harness (10).