Disabled people are disproportionately incarcerated and segregated from society through a variety of institutions. Still, the links between disability and incarceration are underexplored, limiting understanding of how carceral institutions punish and contribute to the social exclusion of disabled people. Using data from the 2016 Survey of Prison Inmates, we estimated disability prevalence in state and federal prisons, assessing disparities by race, ethnicity, and sex, and we examined inequities in previous residence in other "punitive" and "therapeutic" institutions. Sixty-six percent of incarcerated people self-reported a disability, with Black, Hispanic, and multiracial disabled men especially overrepresented in prisons. Compared with nondisabled incarcerated people, disabled incarcerated people were more likely to have previously resided in other institutions, such as juvenile detention facilities and psychiatric hospitals. Together, our findings advance the understanding of disability in carceral institutions, highlighting the need for policy interventions redressing the mechanisms contributing to the high incarceration risks of disabled people and the disabling nature of prisons and other carceral institutions.