NOVELTY - The device (110) has a hollow base body (114) forming a closed inner space and comprising a receiving pocket (118). A coolant connector (121) supplies coolant into the space, and another coolant connector (122) drives off coolant e.g. gas, from the space. The pocket is made of a resilient material and designed such that an energy storage cell (150) is inserted into the pocket or removed from the pocket with pressure in the space. The cell is mechanically fixed in the pocket and the support device with another pressure in the space, where the latter pressure is greater than the former pressure.    USE - Elastic support device for an electrical energy storage cell of an electrical energy storing unit for a motor vehicle i.e. commercial vehicle such as electrical or hybrid vehicles (all claimed). Uses include but are not limited to a lead-acid battery, double-layer capacitor, nickel-metal hydride battery or lithium-ion battery.    ADVANTAGE - The storage cell is inserted into the receiving pocket or removed from the pocket with the pressure in the space, and the storage cell is mechanically fixed in the receiving pocket and the support device with the other pressure in the space, where the latter pressure is greater than the former pressure, thus ensuring mechanical stability, better cooling performance and reduced manufacturing cost, enabling convenient attachment of electric cells to a radiator or heat exchanger, and achieving better thermal connection of the energy storage cell, efficient evacuation of heat and better dimensional stability. The electrical energy storing unit can be manufactured with minimal number of mechanical components and reduced number of assembling steps, and significantly reduces cost. The electrical energy storing unit can be realized in a simple manner with high tightness, and exhibits prolonged service life, reduces workload and avoids mechanical damages.    DETAILED DESCRIPTION - INDEPENDENT CLAIMS are also included for the following:    (1) an electrical energy storing unit for electric or hybrid vehicles    (2) a method for fixing an electrical energy storage cell for electric or hybrid vehicles in a support device.    DESCRIPTION OF DRAWING(S) - The drawing shows a perspective view of an energy storage device having an elastic support device and an energy storage cell.    Elastic support device (110)    Hollow base body (114)    Receiving pocket (118)    Coolant connectors (121, 122)    Energy storage cell (150)