The invention relates to a battery module having a multiplicity of battery cells (4), wherein the battery module (1) has a housing (2) with an interior space (3) in which the multiplicity of battery cells (4) is accommodated, wherein a housing wall (5, 6) of the housing (2) has a multiplicity of projections (7) facing toward the interior space (3) of the housing (2), wherein in each case two adjacent projections (7) delimit a flow channel (8) designed for a flow of temperature-control fluid, wherein the multiplicity of battery cells (4) makes direct contact in each case with the multiplicity of projections (7).