In order to improve the covert transmission performance of visible light mobile communication systems, a random transmission power strategy was adopted to increase the detection uncertainty of monitors. An effective covert rate maximization problem under joint constraint conditions was constructed. Based on graphical methods, the optimal transmission power allocation ratio of light emitting diode (LED) transmitters and the optimal drone position were obtained, and simulation experiments were designed. The simulation results have verified that the proposed scheme can significantly improve the effective concealment rate of covert users in visible light mobile communication based on non orthogonal multiple access.