In this paper, a design of 16-bit fixed-point digital signal processor (DSP) is proposed. This DSP is based on the Harvard architecture, having two buses for ALU and a pipeline multiply accumulator (MAC). It composes of 16 general purpose 24-bit registers together with 41 four-cycle instruction sets. The DSP has a simple structure which is compact and flexible. The DSP is designed for low-power consumption, and implemented on ASIC using SOTB 65nm process which is a kind of SOI devices. The DSP chip consumes very low-power consumption 282µW at the operation voltage 0.55V and operation frequency 200MHz.