Object grasping by robot fingers with purely rolling constraints is one of the most interested issues under consideration by many researchers. In earlier studies, the main goal is the manipulation of object under purely rolling constraints to reach the final stable configuration. In this paper, we addition to derive kinematic and dynamic equations of the system dual fingers robot and grasp semicircular object on the horizontal plane with rigid hemi spherical fingertips under pure rolling constrained, we investigate object manipulation on desired path with keeping dynamics stability. In this way, we use modified multiple impedance control for object manipulation and robot fingers by considering the required reforms in this control law. In method multiple impedance control is made by applying to the desired behavior of the entire system, including fingers and object, dynamics stability condition is satisfied. In this way power adjustment and that these forces arrive in the right place largely effective in minimizing slip is the fingers on the surface object. The results of simulations shows the eligible object manipulation and dynamics stability by fingers robot under pure rolling grasp.