Abstract: The formation, migration and accumulation of oil and gas forms a most important subject in petroleum geology. The oil and gas accumulation is thought to be a long continued process in the past geologic time. It seems to the authors that the action of tectonic stress may create the most important conditions to drive the migration and accumulation of oil and gas. The states of migration potentials have been simulated and calculated for a few typical sections in the northern Tarim Basin. The results obtained show that the low stress field corresponds to the areas of low migration potentials, where oil and gas pools occur.