In view that Liaohe basin was stretched multiply during the Cenozoic, a pur
e shear model is put forward to suit for tectono-thermal modeling of multip
le stretching basins. This model has considered the inheritance of multiple
stretching, the stretching nonuniformity and the variety of stretching rat
e. By contrast: of several kinds of stretching rate, it shows that selectio
n of stretching rate has great significance in modeling the evolution proce
ss of young basins. In the end, the model is applied to study the thermal h
istory of Liaohe basin in the Cenozoic.