The largescale strikeslip faults play an important role in Cenozoic intracontinental deformation and geomorphic growth of Tibetan Plateau and adjacent region related to the IndiaAsia collision. In this study，we document displacement of geologic units and systematic offset streams produced by the leftlateral movements along the East Kunlun，Kangxiwar and XianshuiheXiaojiang faults. Displaced tectonogeomorphic features suggest a sinistrial displacement of 80～120 km occurred along these largescale leftlateral strikeslip fault systems since Cenozoic. Our results indicate that the eastern Kunlun and Kangxiwar fault zones probably began leftlateral faulting at ca.10±2 Ma based on a total maximum displacement of 105～120 km，and assuming a constant longterm slip rate of ca. 10 mm/a for several millions of years. Similarly，we inferred that the XianshuiheXiaojiang likely initiated its sinistral slip faulting since 8～115 Ma，based on a total maximum displacement of 80 km，and assuming a constant longterm slip rate of 7～12 mm/yr. Moreover，the firstclass stream systems along these strikeslip fault systems appeared 80～90 km longterm accumulative displacement，which suggest that these stream systems initiated since ca. 8 Ma. The geologic age of fluvial sequence in the piedmont basin of the western Kunlun Range is well consistent with geologic age of formation for these firstclass drainage systems in the Tibetan Plateau.