A simulation model is proposed in the paper to estimate and to verify the geometry deviations of the machined surfaces in the machining processes of CNC machining centers and single point tools. The model proposed here represents the boring processes based on both the shape generation motions and the cutting tool geometries. The individual motions are mathematically described by 4 by 4 transformation matrices including the kinematic motion deviations. Emphasis is given to the modeling and analysis of the machining process of the single point tools.