A motor vehicle traction battery module includes a rigid battery module housing having at least one battery element. The battery module housing has at least one planar and liquid-cooled housing. The liquid-cooled housing wall has at least one continuously linear coolant cooling channel and at least one continuously linear empty channel, which is parallel thereto and through which there is no liquid flowing. The liquid-cooled housing wall has a contact-making opening, by means of which exclusively the empty channel is interrupted, and wherein an electrical terminal element is arranged in the region of the contact-making opening, with electrical contact being made with at least one battery element by means of said electrical terminal element.