This paper evaluated and compared the simulation of summer precipitation in China and the East Asian summer monsoon (EASM) by eight climate models from Phase 6 of the Coupled Model Intercomparison Project (CMIP6) and the corresponding eight previous models from CMIP5. The CMIP6 MME is more skillful than the CMIP5 MME in both the spatial correlation and SD of the climatological precipitation over Eastern China, related to the less SST biases in the CMIP6 models. The models with a reasonable simulation of the anticyclonic anomalies over the Western Pacific also have a higher ability in the reproduction of the anomalous rainfall pattern associated with the EASM index. Most of the models simulate a weakening trend of the EASM during the time period 1961–2005. The models reproducing the weakening trend can also capture the negative correlation between the EASM and the SST over the EIWP, indicating the importance in the simulation of the relationship between the EASM and the SST over the EIWP in climate models.