The current study is to explore the association of the Chinese visceral adiposity index (CVAI) with hypertension, and to compare the predictive power of different adiposity indexes regarding hypertension among Chinese adults aged over 45 years. A total of 99,201 participants aged over 45 years from the China Nutrition and Health Surveillance 2015–2017 were included in this study. Multivariate adjusted logistic regression was used to calculate the odds ratio (OR) and 95% confidence interval (CI) of hypertension. Multivariate adjusted restricted cubic spline analyses were applied to explore the association of adiposity indexes with hypertension. Receiver operating characteristic (ROC) analyses were used to compare the predictive powers of different adiposity indexes of hypertension. All eight adiposity indexes included in this study were positively associated with hypertension. Compared with those in the lowest quartile of the CVAI, the participants in the highest quartile showed a significantly higher risk of hypertension (OR = 3.70, 95% CI = 3.54–3.86) after multiple adjustments. The ROC analyses suggested that the CVAI was the strongest predictor of hypertension compared to other adiposity indexes in both genders. The findings supported that the CVAI could serve as a reliable and cost-effective method for early identifying hypertension risk.