A battery module for a system for the storage of electrical energy for an electric drive vehicle; the battery module comprises: a group of chemical batteries arranged parallel to and beside one another, each of which has a cylindrical shape, a positive pole at one end and a negative pole at an opposite end, and a safety valve at one end; at least two connection plates, which rest against opposite ends of the group of chemical batteries, so as to electrically connect the poles (21, 22) of the chemical batteries to one another, and are provided with two respective terminals, which project outwards from the battery module and are designed to establish an external electrical connection of the battery module; two support bodies coupled to opposite ends of the group of chemical batteries so as to provide the chemical batteries with a stable mechanical support, each having: a plurality of tubular seats, which house, on the inside, the chemical batteries, a plurality of locking elements, which are arranged in the area of an outer surface of the support body and hold the chemical batteries inside the corresponding tubular seats, and a flat seat, which is arranged in the area of the outer surface of the support body and houses at least one corresponding connection plate; and two lids, which are coupled to the support bodies so as to create respective collecting chambers having at least one draining opening to drain hot fluids flowing out of the safety valve of a chemical battery in case of thermal drift of the chemical battery; the battery module is characterised in that: a cooling device is provided, which is designed to remove heat and rests against the outer surface of a first lid; at least two tie rods are provided, which are arranged on opposite sides of the battery module, on the outside of the cooling device, the lids and the support bodies, and tie together the cooling device, the lids and the support bodies in a packed manner; and the two support bodies are mutually separated by the chemical batteries, i.e. the two support bodies do not touch each other due to the interposition of the chemical batteries, and therefore the thrust generated by the two tie rods tends to push the two support bodies towards one another and is also released onto the chemical batteries which are then mechanically axially loaded. a group of chemical batteries arranged parallel to and beside one another, each of which has a cylindrical shape, a positive pole at one end and a negative pole at an opposite end, and a safety valve at one end; at least two connection plates, which rest against opposite ends of the group of chemical batteries, so as to electrically connect the poles (21, 22) of the chemical batteries to one another, and are provided with two respective terminals, which project outwards from the battery module and are designed to establish an external electrical connection of the battery module; two support bodies coupled to opposite ends of the group of chemical batteries so as to provide the chemical batteries with a stable mechanical support, each having: a plurality of tubular seats, which house, on the inside, the chemical batteries, a plurality of locking elements, which are arranged in the area of an outer surface of the support body and hold the chemical batteries inside the corresponding tubular seats, and a flat seat, which is arranged in the area of the outer surface of the support body and houses at least one corresponding connection plate; and two lids, which are coupled to the support bodies so as to create respective collecting chambers having at least one draining opening to drain hot fluids flowing out of the safety valve of a chemical battery in case of thermal drift of the chemical battery; the battery module is characterised in that: a cooling device is provided, which is designed to remove heat and rests against the outer surface of a first lid; at least two tie rods are provided, which are arranged on opposite sides of the battery module, on the outside of the cooling device, the lids and the support bodies, and tie together the cooling device, the lids and the support bodies in a packed manner; and the two support bodies are mutually separated by the chemical batteries, i.e. the two support bodies do not touch each other due to the interposition of the chemical batteries, and therefore the thrust generated by the two tie rods tends to push the two support bodies towards one another and is also released onto the chemical batteries which are then mechanically axially loaded. a cooling device is provided, which is designed to remove heat and rests against the outer surface of a first lid; at least two tie rods are provided, which are arranged on opposite sides of the battery module, on the outside of the cooling device, the lids and the support bodies, and tie together the cooling device, the lids and the support bodies in a packed manner; and the two support bodies are mutually separated by the chemical batteries, i.e. the two support bodies do not touch each other due to the interposition of the chemical batteries, and therefore the thrust generated by the two tie rods tends to push the two support bodies towards one another and is also released onto the chemical batteries which are then mechanically axially loaded.