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Recently, studies for realizing interaction between users and virtual objects using Augmented Reality (AR) have been actively conducted. However, few previous studies have realized that a user intuitively manipulates virtual objects like clay with their bare hands. In this study, we aim at user's intuitive virtual objects manipulation by realizing basic manipulation on virtual objects with their bare hands. In addition, it is considered that the user feels uncomfortable in the manipulation of the virtual objects because of the occlusion problem in AR, and cannot perform an intuitive manipulation. Therefore, in this study, we solve this problem by performing appropriate hidden surface processing within the range of the user's fingertips.