Nowadays, Internet plays an indispensable role in human lives. People use Internet to search information, transmit data, download ?le, and so on. The data transformed to the composed digital signal by ¡¦0¡¦ and ¡¦1¡¦ are transmitted on Internet . However, Internet is open and unreliable, data may be stolen from the other people if they are not encrypted. In order to ensure the security and secret of data, the cryptosystem is very important. RSA is a famous public-key cryptosystem, and it has easy concept and high security. It needs a lot of modular exponentiations while encryption or decryption. The key length of RSA is always larger than 1024 bits to ensure the high security. In order to achieve real time transmission, we have to speed up the RSA cryptosystem. Therefore, it must be implemented on hardware. In RSA cryptosystem, modular exponentiation is the only operation. Modular exponentiation is based on modular multiplications. Montgomery¡¦s Algorithm used simple additions and shifts to implement the complex modular multiplication. Because the key length is usually larger than 1024 bits, some signals have a lot of fan-outs in hardware architecture. Therefore, the signals have to connect buffers to achieve enough driving ability. But, it may lead to longer delay time and more power consumption. So, Tenca et al. proposed a Multiple Word Montgomery Algorithm to improve the problem of fan-out. Recently, Huang et al. proposed an algorithm which can reduce data dependency of Tenca¡¦s algorithm. This research is based on the architecture of Huang¡¦s algorithm and detects the redundant operations. Then, we block the unnecessary signals to reduce the switch activities. Besides, we use low power shift register to reduce the power consumption of shift register. Experimental results show that our design is useful on decreasing power consumption.