This paper aims to improve the accuracy of robot-assisted grinding in total knee arthroplasty (TKA). For this purpose, a 3 DOF knee grinding robot was designed, combining the merits of series robot and parallel robot. The kinematics equations of the robot were derived by the vector method and the workspace of the robot was identified through Monte-Carlo method. Then, the grinding method of the robot was developed according to the procedure of the TKA. Specifically, the grinding trajectory was planned considering the implant selected for the patient. First, the plane and boundary equations of the implant were determined; then, the femur was ground into the desired shape; after that, the implant was cut off with a ball cutting tool vertically to the depth equal to the row spacing. To validate the trajectory planning method, a simulation analysis was performed on the planned trajectory. The results prove the feasibility and efficiency of the proposed method. The research findings shed new light on the robot-assisted TKA.