Tibetan Plateau (TP) snow anomalies (TPSA) in winter-spring is one of the important predictors of the East Asian summer monsoon (EASM). This paper systematically reviews the studies on the impacts of the interdecadal transition of TPSA on the EASM in recent 20 years. The main conclusions are as follows: (1) interannual variability of the TPSA shows a striking shift from an east-west dipole to a mono-sign structure, which was affected by the sea surface temperature anomalies in the North Pacific and tropical Atlantic, and also bound up with the Antarctic Oscillation and Arctic Oscillation. (2) The interdecadal change of the TPSA in spring influences the EASM precipitation by impacting the subtropical westerly jet in the upper troposphere and the low-level moisture transport. (3) The TPSA can impact the Meiyu rain belt through the “TP atmospheric river” mechanism. (4) The Atlantic Muti-decadal Oscillation can modulate the relationship between the spring TPSA and the Meiyu precipitation. This relationship is robust (weak) during the positive (negative) phase of the Atlantic Muti-decadal Oscillation. Finally, this paper discusses the and prospects the key scientific issues in the influence of the TPSA on the EASM.