Electric battery module, in particular motor vehicle battery module, comprising a plurality of individual accumulators in the form of battery elements or cells of elongate, and preferably cylindrical, shape, these battery elements, which exhibit higher thermal conductivity along their longitudinal direction than their radial direction, being arranged in parallel rows (Ri), connected electrically together and to the terminals of the module and mounted in a container that forms part of said module, said battery module being characterized in that the container comprises: for the one part, at least one support body made of a rigid material that is a good conductor of heat, in particular a metal material such as aluminium or an alloy of the latter, this support body being in the form of a profiled component having a comb-shaped cross section, with a plurality of compartmentalizing walls that are mutually parallel and regularly spaced apart from one another and with a bottom wall connecting said compartmentalizing walls to their bases, each pair of adjacent compartmentalizing walls delimiting, with the bottom wall, a profiled groove forming an elongate housing configured to receive, in a non-fitted manner, a row (Ri) of battery elements with their longitudinal axes perpendicular to the bottom wall and bearing on the latter, and, for the other part, at least first mechanical wedging means, which are attached or integrated and extend at least partially between two adjacent battery elements, specifically for all the elements in one and the same row (Ri), so as to limit, preferably prevent, the movements of said elements at least in the longitudinal direction of the housing that receives them and to space apart said elements from the two compartmentalizing walls that define the elongate housing that receives them. these battery elements, which exhibit higher thermal conductivity along their longitudinal direction than their radial direction, being arranged in parallel rows (Ri), connected electrically together and to the terminals of the module and mounted in a container that forms part of said module, said battery module being characterized in that the container comprises: for the one part, at least one support body made of a rigid material that is a good conductor of heat, in particular a metal material such as aluminium or an alloy of the latter, this support body being in the form of a profiled component having a comb-shaped cross section, with a plurality of compartmentalizing walls that are mutually parallel and regularly spaced apart from one another and with a bottom wall connecting said compartmentalizing walls to their bases, each pair of adjacent compartmentalizing walls delimiting, with the bottom wall, a profiled groove forming an elongate housing configured to receive, in a non-fitted manner, a row (Ri) of battery elements with their longitudinal axes perpendicular to the bottom wall and bearing on the latter, and, for the other part, at least first mechanical wedging means, which are attached or integrated and extend at least partially between two adjacent battery elements, specifically for all the elements in one and the same row (Ri), so as to limit, preferably prevent, the movements of said elements at least in the longitudinal direction of the housing that receives them and to space apart said elements from the two compartmentalizing walls that define the elongate housing that receives them. for the one part, at least one support body made of a rigid material that is a good conductor of heat, in particular a metal material such as aluminium or an alloy of the latter, this support body being in the form of a profiled component having a comb-shaped cross section, with a plurality of compartmentalizing walls that are mutually parallel and regularly spaced apart from one another and with a bottom wall connecting said compartmentalizing walls to their bases, each pair of adjacent compartmentalizing walls delimiting, with the bottom wall, a profiled groove forming an elongate housing configured to receive, in a non-fitted manner, a row (Ri) of battery elements with their longitudinal axes perpendicular to the bottom wall and bearing on the latter, and, for the other part, at least first mechanical wedging means, which are attached or integrated and extend at least partially between two adjacent battery elements, specifically for all the elements in one and the same row (Ri), so as to limit, preferably prevent, the movements of said elements at least in the longitudinal direction of the housing that receives them and to space apart said elements from the two compartmentalizing walls that define the elongate housing that receives them.