Tropical Pacific Islands face unknown rates of future warming due to increased greenhouse gas emissions, but almost certain changing climate stresses. Continued global warming is projected to cause further changes to the mean conditions and variability of sea surface temperature (SST), rainfall, and sea surface height (SSH). Previous climate model simulations showed that the equatorial Pacific is likely to have greater increased rainfall, compared to elsewhere in the tropics. There is less certainty about future rainfall changes away from the equator, including around many of the numerous tropical Pacific Islands. Here, we assess the Coupled Model Intercomparison Project‐phase 6 (CMIP6) as it relates to future changes of SST, rainfall, and SSH in the tropical Pacific. Focus is on the island regions of Hawaii, Guam, and American Samoa, as well as the Niño 3.4 region. We consider two development narratives of the 21st century by assessing the SSP2‐4.5 and SSP5‐8.5 experiments, and describe climate changes in the tropical Pacific relative to the recent historical conditions that are likely for either 1.5°C or 3°C of global mean surface temperature (GMST) warming above preindustrial levels. Consistent with prior‐generation climate models, we find that future rainfall increases the most where SST warming is greatest, and also an overall increase of interannual variability associated with the El Niño‐Southern Oscillation (ENSO) affecting rainfall and SSH. We describe changes in SST, rainfall, and SSH for particular warming amounts, and make comparisons with time‐based climate assessments during the 21st century, which are relevant results toward better understanding uncertainty and supporting adaptation efforts in the tropical Pacific Islands. Plain Language Summary: We assess 21st century projected climate changes in the tropical Pacific using the latest generation of climate models that simulate Earth's response to increasing greenhouse gas emissions. Focus is on describing likely changes of rainfall, as well as sea surface temperature and height, for broad regions around Hawaii, Guam, American Samoa, and the other US‐affiliated Pacific Islands. Although it remains unknown how much global warming will occur, the climate models are unequivocal that the tropical Pacific Ocean will continue to warm this century. We constrain this uncertainty by quantifying climate changes for particular warming amounts, such as 1.5°C or 3°C of global warming relative to preindustrial conditions. The surface of both the Earth and the tropical Pacific, specifically, have already warmed by more than 0.5°C. However, it is unknown when the 1.5°C or 3°C global warming amounts will occur. Some uncertainty also remains about regional climate changes associated with the future warming, such as for rainfall around Hawaii and American Samoa, whereas there is more consensus among models about the future rainfall increasing near the equator as well as near Guam in the north‐western Pacific. Increasing equatorial rainfall is a consequence of that region projected to warm fastest and also suggests likely increasing climate variability affecting most tropical Pacific Islands. Key Points: CMIP6 projects increasing 21st‐century rainfall for the equatorial Pacific, and in a broad part of the tropical north‐western PacificRainfall changes are more uncertain for regions around many tropical Pacific Islands, such as Hawaii and American SamoaAssessing seasonal and interannual variability changes for particular warming amounts constrains uncertainty related to the global warming rate [ABSTRACT FROM AUTHOR]