In this paper, we consider control of grasp and manipulation of an object in a 3-dimensional space by a 3- fingered hand robot with soft finger tips. We firstly propose a 3-dimensional deformation model of a hemispherical soft finger tip and verify its relevance by experimental data. Second, we consider the contact kinematics and derive the dynamical equations of the fingers and the object where the 3-dimensional deformation is considered. For the system, we thirdly propose a method to regulate the object and the internal force with the information of the hand, the object and the deformation. A simulation result is presented to show the effectiveness of the control method. rolling contact in a two-dimensional space. They considered vertical deformation to the flat part of the soft finger and de- formation parallel to the surface of the contacted object. These studies proposed reasonable deformation models and control methods for grasp and manipulation, which take into account the properties of the deformation. However, since their de- formation models and control methods are considered in re- stricted two-dimensional space, their methods can not be ap- plied to manipulation in a 3-dimensional space. Yokokohji et al. (10) considered the grasp and manipulation of an object in 3-dimensional space by a three-fingered robot hand with hemi- spherical soft fingers and proposed a controller with friction compensation of the torsion moments about contact normals. However, the deformation of the soft finger is not considered because the contact is assumed to be point. In this paper, we firstly derive a three-dimensional deforma- tion model of a hemispherical soft finger, which is composed of three translational forces and one torsion moment about the contact normal. The all four force components generated by a soft finger (11) is included in this model. The relevancy of the deformation model is verified by experiment data. With this model, we consider control of grasp and manipulation of an object in 3-dimensional space by a 3-fingered hand robot, each of which has three degrees of freedom. Second, we consider the contact kinematics with the finger deformation and derive the dynamical equations of the fingers and the grasped object with deformation effects. For the system, we thirdly propose a method to regulate the object and the internal force with the information of the hand, the object and the deformations. A simulation is presented to show the effectiveness of the control method.