A mobile transport platform for the handling of aeronautical parts with a frame has an array of telescopic actuators vertically arranged in rows and columns, each telescopic actuator is coupled by one end to the frame, and has a coupled head (2c) at its opposite end; a control system connected to each telescopic actuator for individually controlling the actuation of each telescopic actuator so that the telescopic actuator can adapt a position between that of maximum extension in which the head and at least part of the shaft of the telescopic actuator project from the plane of the load surface, and that of maximum retraction in which at least the shaft of the telescopic actuator does not project from the plane of the load surface.