Purpose: Intersectionality provides a theoretical framework to analyze how systems of oppression interact to affect individual experiences, particularly among those with multiple marginalized identities. Research suggests that multiply marginalized people within the LGBTQIA+ community experience elevated rates of intimate partner violence and abuse (IPVA), highlighting the importance of an intersectional approach. Intersectionality is more commonly associated with qualitative methods, and guidance on its application to quantitative inquiry is still developing. Methods: This article synthesizes recent methodological developments on quantitative intersectional research and examines how these can be applied to researching IPVA in LGBTQIA+ communities. We review guidance on study design, research questions, sampling, measure selection, and analytic techniques, and reflect on its implications in the context of an ongoing longitudinal study by the authors. Results: Quantitative methods can facilitate intersectional research on IPVA within LGBTQIA+ communities. Researchers must avoid focusing solely on identities to also consider how those social categories are socially constructed, fluid and mutually constituted. We highlight the importance of meaningful community engagement and maintaining a focus on social justice, rejecting the notion of statistical research as a value-neutral enterprise. Conclusions: Quantitative research, despite its limitations, can provide valuable insights into IPVA within LGBTQIA+ communities when informed by the framework of intersectionality. However, applying this framework requires careful consideration at all levels of the research process. By broadening explanatory models of IPVA to include consideration of the role of inequalities beyond gender and sex, this type of research holds potential to deliver significant advances to the wider field of IPVA research.