Distributed along the periphery of Tianshan and Kunlun Mountains in the northern margin of Tibetan Plateau, Xiyu conglomerate formation is a unit of Late Cenozoic gravel deposit which provides significant information of tectonic activities of the Northern Tibetan Plateau and global climate changes. It is crucial for attaining its depositional age in order to better understand the growth of Tibetan Plateau and related landscape evolution process. Cosmogenic nuclides ~(26)Al/~(10)Be burial dating is an emerging radioisotopic dating technique which could be used in dating gravel samples containing quartz mineral up to 5Ma. This study intends to explore the possibility of using ~(26)Al/~(10)Be burial dating method to determine the age range of the Xiyu conglomerates of two sections-Yamale (39°03'N, 75°35'E) and Oytake (38°58'N, 75°26'E) in the foreland of western Kunlun Mountain on Pamir Plateau, which has intact and well-preserved stratigraphy in great depth. Calculating with simple burial model, the burial age of lower layer sample of Yamale section is older than 3. 5Ma. Weighted mean age of five samples from upper layer is 2.110.60/0.46Ma. The simple burial age of another amalgamated sample from the bottom of growth strata of Xiyu conglomerate section in Oytake at 0. 46 ~7. 12Ma. In this study, we find several difficulties and problems of ~(26)Al/~(10)Be burial dating of Xiyu conglomerate : (1) High erosion rates in the source area results in a low initial concentration of nuclides and large analytical uncertainty because of approaching lower limit of AMS measurement; (2)The ages of certain samples reach the limit of maximum age of ~(26)Al/~(10)Be burial dating ; (3) High concentration of stable 27A1 and other nuclides in the samples interfere the chemical separation and the precision of AMS measurement; (4) Multiple periods of erosion and deposition will change the apparent age of the sample, and isochron analysis may not always work in some cases. Weighted mean of isolevel multiple samples could give meaningful geological ages. This study is an exploration work of applying ~(26)Al/~(10)Be burial dating method on Xiyu conglomerate. Although this work does not give a precise chronological framework of this deposition, it shows the potential for the future study of burial dating of Late Cenozoic gravel deposits in the Northwestern China.