Software evolution process model (EPM) is created in terms of a formal evolution process meta-model (EPMM) and semi-formal approach to modeling based on EPMM. EPM is still abstract at higher abstract level and is general while software process is concrete, so EPM must be instantiated before its enactment. The method to transform any EPM to its execution model based on logic programming is proposed. Since activity contains the imports resource, roles resource, exports resource and tasks, the rules to transform the four parts of activity level of any EPM to its execution model based logic programming are respectively proposed by analyzing the execution semantics of the activities and the tasks in EPM. The converter program is realized and the correct results have presented to prove the correctness of the method.