Although the relationship between hypertension and hyperuricemia is widely recognized, there is still a relative lack of research on prehypertensive individuals and the individual associations of systolic and diastolic blood pressure with the risk of hyperuricemia. From 2011 to 2016, we conducted a study on 53,323 individuals at Wuhu City Hospital in China. Based on initial blood pressure readings, participants were categorized into normal, prehypertension, or hypertension groups. We used Cox regression to analyze the associations with baseline factors. In subgroup analyses, systolic and diastolic pressures were treated as continuous variables, and their relationship with the risk of hyperuricemia was examined using restricted cubic spline analysis. The risk increased in the prehypertension and hypertension groups compared to the normal blood pressure group, with hazard ratios of 1.192 and 1.350, respectively. For each unit increase in blood pressure, the risk of hyperuricemia rose by 0.8% (systolic) and 0.9% (diastolic), especially when blood pressure levels exceeded 115/78 mmHg. Additionally, we observed that factors such as gender, alcohol consumption habits, obesity, and dyslipidemia might further influence this association. These findings emphasize the importance of early risk assessment and intervention in these patient populations in clinical practice.