A drive battery assembly of an electric, fuel cell or hybrid vehicle has a plurality of battery cells (10), which are outwardly closed by their own individual cell housings (12) and are combined into a cell stack. At least one cooling fin (16) planarly abutting the cell housings (12) removes heat by way of coolant. Canals (28) for coolant are formed by the walls of the two-walled cooling fins (16) being distanced in sections.