An adjustable carrier structure for a lamp is described. Said adjustable carrier structure comprises an optical component carrier on which an optical component may be fastened, a coupling device for fastening the carrier structure on the lamp, and at least one threaded spindle. The latter comprises a first threaded spindle end that is mounted in an axially-fixed and non-rotatable manner on the optical component carrier, and is connected to the coupling device via a threaded socket that cooperates with the threaded spindle. In this case, the threaded socket is connected to the coupling device in an axially-fixed and rotatable manner. The threaded spindle extends essentially parallel to an optical axis of the adjustable carrier structure. A distance may be set between the first threaded spindle end and the coupling device by means of rotating the threaded socket. Moreover, a lamp having a carrier structure of this type is proposed.