In this paper, a novel 5 degrees-of-freedom (DOF) numerical control (NC) serial-parallel machine tool is proposed. It can provide 3 translational DOF and 2 rotational DOF. The proposed mechine tool is composed of a 2-TPR/2-TPS special 4-DOF parallel mechanism in series with a rotatable component. The structure of this machine tool is simple. The machine tool can process the workpieces which have complex surfaces.The structural characteristics of this machine tool is introduced. The position inverse solution of this machine tool is deduced by analytical method and the position forward solution of this machine tool is achieved by numerical method.