Background: Poor cognitive function can predict poor clinical outcomes. Intensive blood pressure control can reduce the risk of cardiovascular diseases and all-cause mortality. In this study, we assessed whether intensive blood pressure control in older patients can reduce the risk of stroke, composite cardiovascular outcomes and all-cause mortality for participants in the Systolic Blood Pressure Intervention Trial (SPRINT) with lower or higher cognitive function based on the Montreal Cognitive Assessment (MoCA) cut-off scores. Methods: The SPRINT evaluated the impact of intensive blood pressure control (systolic blood pressure <120 mmHg) compared with standard blood pressure control (systolic blood pressure <140 mmHg). We defined MoCA score below education specific 25th percentile as lower cognitive function. And SPRINT participants with a MoCA score below 21 (<12 years of education) or 22 (≥12 years of education) were having lower cognitive function, and all others were having higher cognitive function. The Cox proportional risk regression was used to investigate the association of treatment arms with clinical outcomes and serious adverse effects in different cognitive status. Additional interaction and stratified analyses were performed to evaluate the robustness of the association between treatment arm and stroke in patients with lower cognitive function. Results: Of the participants, 1,873 were having lower cognitive function at baseline. The median follow-up period was 3.26 years. After fully adjusting for age, sex, ethnicity, body mass index, smoking, systolic blood pressure, Framingham 10-year CVD risk score, aspirin use, statin use, previous cardiovascular disease, previous chronic kidney disease and frailty status, intensive blood pressure control increased the risk of stroke [hazard ratio (HR) = 1.93, 95% confidence interval (CI): 1.04-3.60, P = 0.038)] in patients with lower cognitive function. Intensive blood pressure control could not reduce the risk of composite cardiovascular outcomes (HR = 0.81, 95%CI: 0.59-1.12, P = 0.201) and all-cause mortality (HR = 0.93, 95%CI: 0.64-1.35, P = 0.710) in lower cognitive function group. In patients with higher cognitive function, intensive blood pressure control led to significant reduction in the risk of stroke (HR = 0.55, 95%CI: 0.35-0.85, P = 0.008), composite cardiovascular outcomes (HR = 0.68, 95%CI: 0.56-0.83, P < 0.001) and all-cause mortality (HR = 0.62, 95%CI: 0.48-0.80, P < 0.001) in the fully adjusted model. Additionally, after the full adjustment, intensive blood pressure control increased the risk of hypotension and syncope in patients with lower cognitive function. Rates of hypotension, electrolyte abnormality and acute kidney injury were increased in the higher cognitive function patients undergoing intensive blood pressure control. Conclusion: Intensive blood pressure control might not reduce the risk of stroke, composite cardiovascular outcomes and all-cause mortality in patients with lower cognitive function.