The quality of care experienced by members of racial and ethnic minority groups in Medicare Advantage, which is an increasingly important source of Medicare coverage for these groups, has critical implications for health equity. Comparing gaps in Medicare Advantage and traditional Medicare for three quality-of-care outcomes, measured by adverse health events, between minority and non-Hispanic White populations, we found that the relative magnitude of the gaps varied both by racial and ethnic minority group and by quality measure. Hispanic versus non-Hispanic White gaps were smaller in Medicare Advantage than in traditional Medicare for all outcomes: avoidable emergency department use, preventable hospitalizations, and thirty-day hospital readmissions. The gap between non-Hispanic Black and non-Hispanic White populations was larger in Medicare Advantage than in traditional Medicare for avoidable emergency department use but was no different for hospital readmissions and was smaller for preventable hospitalizations. The Asian versus non-Hispanic White gap was similar in Medicare Advantage and traditional Medicare for avoidable emergency department use and preventable hospitalizations but was larger in Medicare Advantage for hospital readmissions. As Medicare Advantage enrollment expands, monitoring the quality of care for enrollees who are members of racial and ethnic minority groups will remain important.