BackgroundSexual violence against women is a global public health issue with both short- and long-term effects on the physical and mental health of women. This study aimed to determine the prevalence of sexual violence and its associated factors among women of reproductive age in Rwanda.MethodsWe used secondary data from the 2020 Rwanda Demographic and Health Survey of 1,700 participants, who were selected using multistage stratified sampling. Multivariable logistic regression was conducted to explore factors associated with sexual violence using SPSS (version 25).ResultsOf the 1,700 women of reproductive age, 12.4% (95%CI: 11.0–14.1) had experienced sexual violence. Justified beating (AOR = 1.34, 95%CI: 1.16–1.65), not having health insurance (AOR = 1.46, 95%CI: 1.26–2.40), not being involved in healthcare decision-making (AOR = 1.64, 95%CI: 1.99–2.70), having a husband/partner with primary (AOR = 1.70, 95%CI: 5.47–6.21) or no education (AOR = 1.84, 95%CI: 1.21–3.37), as well as having a husband/partner who sometimes (AOR = 3.37, 95%CI: 1.56–7.30) or often (AOR = 12.87, 95%CI: 5.64–29.38) gets drunk were positively associated with sexual violence. However, women from male-headed households (AOR = 0.52, 95%CI: 0.29–0.92) were less likely to experience sexual violence.ConclusionsThere is a need to demystify negative culturally-rooted beliefs favouring sexual violence, such as justified beating, as well as increase efforts to promote women’s empowerment and healthcare access. Moreover, engaging men in anti-sexual violence strategies is paramount to addressing male-related issues that expose women to sexual violence.Supplementary InformationThe online version contains supplementary material available at 10.1186/s13690-023-01109-z.