Minimally invasive surgery procedures require the surgical tools to be moved about an incision point. Robots used for these surgeries must achieve this motion capability. When robots are used alongside the surgeon, additional considerations must be made regulating the surgeon-robot interaction. This paper presents a formulation of a compliance controller, namely an admittance controller, for use in the control of a surgical robot that is directed by physical interaction with the surgeon. The surgical robot in this study is a 6 degrees-of-freedom collaborative robot with a force/torque sensor attached to the distal end of its last joint.