This paper proposes a novel 4-D eye-point control system via pick and move operation of principal vanishing points. Our previous research has shown that the principal vanishing points act as a landmark to move in 4-D space since they relate with the 4-D visual axis. Thus, it is expected that we can easily achieve intuitive 4-D interaction by utilizing them as an interface of 4-D space. We constructed an interactive system that enables users to move in an arbitrary direction in 4-D space. Furthermore, we evaluated the effectiveness of the proposed system by user experiments. Moreover, we verified the utility of the proposed system by applying it to various 4-D data.