An automated bore finishing process particularly adapted for lapping automatically corrects one or more bore parameters, such as diameter, geometry, surface finish, in an iterative manner to reach a final value, controlled by algorithms that process feedback from a measurement process. The process determines bore parameter information and determines an optimum set of values for the process parameters, such as stroke position, stroke length and duration of the next lapping iteration. This optimization is targeted to achieve the desired final bore parameter or parameters within the specified bore size limits, and may be used to alter the stroke profile either for the entire next iteration or in a continuously changing manner, to minimize or eliminate bore defects over one or a succession of iterations.