CORDIC algorithm can transform the complex operations，which are difficult to be directly implemented by hardware circuits，into the simple addition and shift operations uniformly，then gradually approach the accurate result．The study gives a brief introduction of the ultimate principle and computing method of CORDIC algorithm．Taking sine and cosine as examples，the method of realization on FPGA is presented and it is of good arithmetic speed as a result of using pipeline．The design has been provided correct by simulating and verification through Quartus Ⅱ and Modelsim．