The invention discloses a remote movement center mechanism of gravity balance, which comprises an (A) connecting bar, a (B) connecting bar, a (C) connecting bar, a (D) connecting bar, an (E) connecting bar, an (F) connecting bar, an (A) balance weight, a (B) balance weight, a (C) balance weight, an (A) clamping piece component, a (B) clamping piece component, a (C) clamping piece component, a base, a support, a connecting piece, a cross bar and a vertical bar. The support is installed on the base; the (A) connecting bar and the (B) connecting bar are placed in parallel; the (C) connecting bar and the (D) connecting bar are placed in parallel; the ends of the parallel connecting bars are respectively and moveably connected with the (F) connecting bar and the connecting piece; a tool is arranged at the lower end part of the connecting piece; the (A) balance weight is installed the regulation section of the (A) balance weight of the (F) connecting bar, and the position of the (A) balance weight on the regulation section of the (B) balance weight is regulated through the (B) clamping piece component; and the (C) balance weight is installed on the vertical bar and position of the (C) balance weight on the vertical bar through the (C) clamping piece component. Through the mechanism of the invention, the tool can rotate around a virtual rotation center (O) in the space, and can keep the self gravity balance in each movement position.