After a summary review of the Moho discovery and introduction of its elementary nature, this paper focus on the important advancement on Moho studies in the Tibet plateau. In the regional scale, passive source seismic (natural earthquake) research achievements sketch the deep tectonic background reached to the basement of the lithosphere. However, due to the limitation of resolution of passive source methods, the results (structure of the crust and upper mantle) generally lack of enough details. In recent decades, with the use of active source seismic (include wide angle reflection and refraction seismic profiling, near vertical reflection seismic profiling) with high resolution of several kilometer even hundreds meter, the fine structure of the crust and upper mantle beneath the Tibetan Plateau has been revealed. This paper make a systematic analysis on the basic data of the Moho depth, crust and uppermost mantle structure as well as the velocity of the uppermost mantle in the recent 30 years and have a discussion on several problems including the Moho research of the Tibetan Plateau.