The support includes a parallelepiped container (1) whose large vertical walls (4a, 4b) each have a recess (10a, 10b) for vertically fixing from the exterior a metal contact clamp (20a, 20b) between the battery (30) and a flat surface. Each recess (20a, 20b) is separated from the inside of the container (1) by a wall (5a, 5b) having a cut out communication portion (7a, 7b) in which a bent portion (27a, 27b) of the clamp engages. The recesses (10a, 10b) and the clamps (20a, 20b) have complementary snap fitting means (13a, 13b, 23a, 23b) and anchoring means (24a, 24b, 25a, 25b, 9a, 9b). The positive clamp (20a) is extended by a tongue (21) of which the end (22) which is bent and possibly insulated, holds in place one or two batteries. The container (1) is manufactured simply and economically in one or more parts by moulding or injecting a plastic material.