Integrating mobile nodes into wireless light communication networks requires overcoming the challenges of light alignment. Here, we use white and blue lights to establish an all-light communication network with mobile light communication (MLC) links for diverse environments. The integration of visual tracking with a gimbal stabilizer enables tracking and pointing mobile nodes during motion. The MLC achieves a robust transmission control protocol (TCP) connection, maintaining a packet loss of 6.8% and a delay of 48 ms even when the gimbal rotates at speeds exceeding 91.6 deg/s. The network demonstrates full-duplex real-time video communication between mobile and fixed nodes. Furthermore, a minimum requirement for establishing a TCP-based MLC link is presented: the motion time over a given path should exceed the sum of the TCP transmission delay, visual tracking delay, and gimbal rotation time. The mobile all-light communication network holds significant potential for providing various services across diverse environments to different users simultaneously.