The large-scale morphology of the eastern margin of the Tibetan plateau can be divided into three zones, the Tibetan plateau, Longmen Mnt. and Sichuan basin. To understand the relationship between uplift rate and Minjiang incision rate in the region, we calculated the incision rate of the Minjiang River using terrace and its TL ages, and the results indicate that the Minjiang incision rate is 1.07~1.61 mm/a in the Tibetan Plateau, 1.81 mm/a in the Longmen Mnt., and 0.59 mm/a in the Sichuan Basin. Based on these key data and surface uplift rate of the Longmen Mnt.(0.3~0.4 mm/a, we established the late Cenozoic coupling relationship between incision rate and surface uplift rate, and incision rate is five times the surface uplift rate in the Longmen Mnt. According to the time span (3.48 Ma) of forming the maximum depth of dissection and the age (3.6 Ma) of oldest Minjiang Fan deposit in the Chengdu Basin, we inferred that the uplift of the Longmen Mnt. began from 3.6 Ma, and the mountain building models of the Longmen Mnt. had been constrained to both erosion uplift and tectonic uplift.