The subsurface structures of the Kuqa rejuvenated foreland basin are really complex, so a correct interpretation of them is the key for understanding the genesis of the basin and hydrocarbon traps. With the geometry models of structures built on the basis of the theory of fault-related folds, the authors have tried to interpret and predict the complex structures effectively. The results show that measured cut-off angles of the fault-related folds of the seismic profiles in the Kuqa area agree well with the theoretical values. Thus the established fault-related folding structure models of the Kuqa rejuvenated foreland basin are verified to be reasonable.