Abstract Background With an increase in the incidence and prevalence of non-rheumatic valvular heart diseases (NRVHDs), having a proper understanding of the disease current status in terms of quality of care and healthcare access can considerably affect further planning for the healthcare system. Objective In this study, we aimed to evaluate and compare the quality and equity of care concerning NRVHDs in terms of gender and sociodemographic index (SDI) using a newly proposed index. Methods We obtained the primary measures (e.g. incidence) from the Global Burden of Disease (GBD) data about NRVHD from 1990 to 2017 to calculate the subsequent secondary indices (e.g. mortality-to-incidence ratio) with close association to quality of care. Then, using principal component analysis (PCA), quality of care index (QCI) was calculated as a novel index from the secondary indices, rescaled to 0–100. QCI was calculated for all age groups and both genders, globally, regionally and nationally between 1990 and 2017. Results Globally, the QCI for NRVHDs in 2017 was 87.3, and it appears that gender inequity was unremarkable (gender disparity ratio = 1.00, female QCI: 90.2, male QCI: 89.7) in 2017 similar to the past three decades. Among WHO world regions, the Western Pacific Region and Eastern Mediterranean Region showed the highest (90.1) and lowest (74.0) QCI scores. Regarding SDI, the high-middle-SDI quintile with a QCI of 89.4 and the low-SDI quintile with a QCI of 77.8 were the two extremes of healthcare quality in 2017. Conclusion Although global status regarding the NRVHD’s quality of care is acceptable, higher attention is required for lower SDI countries.