The largescale strikeslip faults play an important role in Cenozoic intracontinental deformation and geomorphic growth of Tibetan Plateau and adjacent region related to the IndiaAsia collision. In this study，we document displacement of geologic units and systematic offset streams produced by the leftlateral movements along the East Kunlun，Kangxiwar and XianshuiheXiaojiang faults. Displaced tectonogeomorphic features suggest a sinistrial displacement of 80～120 km occurred along these largescale leftlateral strikeslip fault systems since Cenozoic. Our results indicate that the eastern Kunlun and Kangxiwar fault zones probably began leftlateral faulting at ca.10±2 Ma based on a total maximum displacement of 105～120 km，and assuming a constant longterm slip rate of ca. 10 mm/a for several millions of years. Similarly，we inferred that the XianshuiheXiaojiang likely initiated its sinistral slip faulting since 8～115 Ma，based on a total maximum displacement of 80 km，and assuming a constant longterm slip rate of 7～12 mm/yr. Moreover，the firstclass stream systems along these strikeslip fault systems appeared 80～90 km longterm 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 firstclass drainage systems in the Tibetan Plateau.