Recently, visible light communication (VLC) has become a hot topic owing to its advantages, such as high security, high capacity, and antielectromagnetic interference. VLC has become a potential candidate for indoor access networks due to the feasibility of combining illumination and communication. However, intersymbol interference and random phase rotation induced by the transmission channel will decrease the system performance. Traditional constant modulus algorithm (CMA) performs well in converging constellation, but random phase rotation still exists since CMA is insensitive to phase. We demonstrate an optical fiber and visible light integrated communication system. 960-Mbps multiband geometrically shaping (GS) quadrature amplitude modulation (QAM)-8 transmission is realized. Modified learning vector quantization is employed after CMA equalization to mitigate the impairment induced by both optical fiber and visible light channel. Experimental results indicate the feasibility of the proposed method. The Q factor of GS QAM-8 could be enhanced by 5.98 dB with the proposed method.