A model of computer speech-graphics system is proposed in this paper. The paper describes its principle and its design method，and a simple computer speech-graphics system based on this method is developed. It consists of a TI-SPEECH speech processing system，a KX-600 graphics display system and an IBM-PC/AT computer. The graphics software package is MGP 2D military graphics package which is implemented in KX-600 graphics display system. It possesses the Transparent keyboard ability to support speech input. Finally，the paper proposes an intelligent computer graphics display model which consists of speech input，and GKD-PROGKS graphics system. It provides some valuable recommendations for the development of intelligent computer graphics display system.