Limited research exists on the characteristics of individuals experiencing homelessness who achieve positive housing outcomes in rapid re-housing (RRH) interventions. We aimed to identify a typology of homelessness based on Self-Sufficiency Matrix (SSM) domains and examine its relation to sociodemographic characteristics and housing placement through RRH. Homeless Management Information System data, including sociodemographics, SSM domains, and housing outcomes, were obtained for 261 Homelessness Prevention and Rapid Re-housing Program participants in Indianapolis, Indiana, from 2009 to 2012. Latent class analysis (LCA) and latent class regression (LCR) were used to identify subgroups and predict associations between the identified typology and sociodemographic variables and housing placement outcome, respectively. LCA revealed three classes based on SSM domains: "High Self-Sufficiency," "Low Socioeconomic Self-Sufficiency," and "Low Psychosocial Self-Sufficiency." LCR revealed that race significantly predicted class membership such that Black individuals had a significantly higher probability of being in the High Self-Sufficiency class than the other two classes. Latent class membership significantly predicted immediate housing placement. The Low Psychosocial Self-Sufficiency group was the least likely to exit RRH to a permanent housing placement compared to the two other subgroups. Results affirm that individuals with greater psychosocial self-sufficiency have better housing outcomes through RRH than those with more complex support needs. Future research is needed to understand factors influencing differential self-sufficiency, as measured by the SSM, among Black and White individuals.