Oil and gas migration mechanics driven by the crustal stress and constitutional equation and flowing equation are discussed in this paper. Taking the Dongying Depression of Shengli oil field as an example, this study models the crustal stress and migration potential field at the central zone of the anticline. The results show that the anticline has a well corresponding relation between oil and gas migration, and low stress zone or low potential zone. Most reservoirs occur in low stress zone or low potential zone, indicating the control of crustal stress over the migration and reservoiring of oil and gas.