The ID-based cryptosystem and Power Analysis Attack are attracting many researchers and have been developed aggressively to date. Especially, DPA (Differential Power Analysis) attack has been considered to be the most powerful attack against low power devices, such as smart cards. However, these two leading topics are researched independently and have little hewn relations with each other. In this paper, we investigate the effect of power analysis attack against ID based cryptosystem. As a result, we insist that ID-based cryptosystem is secure against DPA and we only need to defend against SPA (Simple Power Analysis).