Abstract: A shock-proof case especially suited for portable measurement apparatus. The case is comprised of a moldable elastomeric material having a wall with an opening therein, in the periphery of which is formed an elastic encasement groove for receipt of a plate of a material significantly more rigid than said elastomeric material. The plate includes numerous cavities in its peripheral region encased within the groove. The elastomeric material of the case is remolded over the peripheral region of the plate in such a way that the elastomeric material fills the cavities in the plate during the molding process, and thus ensures an effective bonding between the plate and the elastomeric material of the case. The case may also be provided with damping means of varying thickness to cushion the apparatus against shock.