A joint power and sub-channel resource allocation algorithm is proposed in this paper which is used for orthogonal frequency division multiplexing (OFDM) based multi-colour visible light communication (VLC) systems. Compared to the conventional monochromatic optical communication system, the algorithm designed in this paper can be used for of multiple visible lights transmission system. The resource allocation algorithm designed in this paper aims to maximize the transmission rate of the visible light transmission network. First to optimally allocate sub-channels to different visible lights, obtaining this optimized sub-channel value and then allocating power in order to achieve the final target optimized power allocation. Simulation results show that the algorithm can achieve higher transmission rates than fixed resource allocation algorithms.