In this paper, a novel adjustment scheme of the position-predicted period (PP: position-predicted period) in indoor VLC network is proposed. The scheme is adaptive to the movement speed. It contains two key parts: speed-adaptive PI collection (PI: position information) and speed-adaptive PP adjustment. By user’s mobile characteristics, speed-adaptive PI collection is realized to lift prediction accuracy. By distribution characteristics of received power, speed-adaptive PP adjustment is achieved to avoid unnecessary predictions. The AP selection based on position prediction can effectively improve the user’s transmission rate. By the AP selection based on position prediction and the PP adjustment scheme adaptive to movement speed, the user’s transmission quality under different movement speeds can be improved. Finally, by simulation, the effectiveness of this scheme is demonstrated.