There is the need to combine internetware with various heterogeneous services and to adapt to the dynamic changing network environment to achieve uninterrupted service and online dynamic evolution. In order to explicitly draw the data flow into dynamic evolution, a data flow and control flow oriented internetware service model based on colored Petri nets (CPN) is put forward in this paper. Along with analyzing the data flow errors caused by five kinds of dynamic evolution operation, and in order to escape the data flow errors effectively, two data flow oriented service instance migratability criterions are given first. And then, a service instance migratability criterion about the cross dependencies between data flow and control flow is proposed to comprehensively describe the constraint attributes of service instance dynamic migration. The experiment results show that the methods provided in this paper are feasible and applicable to internetware service.