This paper describes the architecture for reducing its size and increasing the computation rate in implementing the SEED algorithm of a 128-bit block cipher, and the result of the circuit design. In order to increase the computation rate, it is used the architecture of the pipelined systolic array. This architecture is a simple thing without involving any buffer at the input and output part. By this circuit, it can be recorded 320 Mbps encryption rate at 10 MHz clock. We designed the circuits with goals of the high-speed computations and the simplified structures.