Abstract: The reflector lamp has a reflector body (1) having a neck-shaped portion (4) with an end face (5). An electric lamp (10) having a lamp vessel (11) with elongate end portions (12,13) and in which an electric element (14) is present, is mounted inside the reflector body (1), its first end portion (12) being fixed in the neck-shaped portion (4) and its electric element (14) being aligned with respect to the optical axis (3) of the reflector body (1). The lamp (10) is fixed by means of a first (30) and a second clamping member (40), which are initially movable with respect to the lamp (10) and one to the other, and which are rigidly secured one to the other after alignment of the electric element (14). The first clamping member (30) is kept positioned against the end face (5).