The invention relates to radio-control of lifting machinery, and is intended to solve problems due to the presence of interfering metal masses. For this purpose, the support arm of the radio-control antenna is mounted such that it is able to be orientated about a vertical pivoting axis, on the lifting, machinery. This support arm includes a head, radially offset with respect to the axis, upon which the antenna is mounted. The support arm can occupy separate angular positions, and in particular a position in which the antenna is separated from the metal structure of the lifting machinery. This invention applies in particular to the radio-control of tower cranes.