This study investigated racial/ethnic differences in pregnant and postpartum women's intentions to receive the COVID-19 vaccination (maternal COVID-19 vaccination intent) and intentions to vaccinate their children against COVID-19 (child COVID-19 vaccination intent) during the early months of the COVID-19 pandemic (April-June 2020). This study also assessed Health Belief Model constructs to examine their influence on maternal and child COVID-19 vaccination intent by race/ethnicity. This study includes 489 US pregnant and postpartum women (18-49 years) recruited via Prolific Academic to complete a 55-item cross-sectional online survey. Crude and adjusted logistic regression analyses were conducted to determine the associations between race/ethnicity, maternal COVID-19 vaccination intent, and child COVID-19 vaccination intent. Among pregnant women, the odds of maternal COVID-19 vaccination intent (aOR = 2.20, 95% CI: .862, 5.61) and child COVID-19 vaccination intent (aOR = .194, 95% CI: .066, .565) among NH Black women were statistically significantly lower than that of NH White women after adjustment for demographic, health, and health belief model variables. Among postpartum women, although some racial differences in maternal or child COVID-19 vaccination intent were observed, these differences were not statistically significant in unadjusted and adjusted models. The findings have implications for future research and interventions which should adopt a racial health equity lens and identify strategies grounded in institutional trustworthiness and systems perspectives to address racial/ethnic disparities in COVID-19 vaccination intent among pregnant and postpartum women during novel pandemics.