Based on DSP Builder, this paper presented a new digital circuit design for the delay chaotic systems. The delay-Lorenz chaotic system was preprocessed by adopting first order differential equations. When adopting analog circuit to design chaotic systems, the circuit is sensitive to the components bias and environment impact. The digital circuit design method proposed in this paper can overcome these defects. Meanwhile, this paper also discussed the problem of chaos suppression of delay chaotic system. A linear controller was proposed to realize chaos control based on description of the system model. And digital circuit of this system was designed according to discrete system model. Finally, simulation results were given to illustrate the effectiveness and feasibility of the proposed method.