Background: Orthostatic hypotension (OH) is a common blood pressure abnormality in older adults that makes them prone to balance disorders and falls. The maintenance of balance relies on a complex regulatory system. The use of computerized dynamic posturography (CDP) can provide a quantitative evaluation of balance function. The objective of this study was to utilize CDP to measure balance indicators in older individuals with OH. Methods: A total of 303 older adults were divided into an OH group of 91 and a non-OH group of 212. Various factors, including chronic diseases, medication history, laboratory tests, and balance indicators, were compared between the two groups. Results: ① Participants with OH had more chronic diseases, including coronary heart disease (p = 0.049) and a history of falls (p < 0.001), than those without OH. A history of multiple medications in the OH group was significantly more likely than in the non-OH group (p = 0.006). ② There was a significant reduction in the composite equilibrium score (SOT-COM) (p < 0.001), vision ratio score (VIS) (p < 0.001), vestibular ratio score (VEST) (p < 0.001), and directional control (DCL) (p = 0.028) in the OH group. ③ A logistic regression analysis revealed that SOT-COM was a significant independent factor associated with OH. The area under the curve (AUC) of SOT-COM was 0.833 (95% confidence interval: 0.778–0.887, p < 0.001), with a sensitivity of 0.826 and a specificity of 0.759. Conclusions: This study demonstrates that older individuals with OH are more prone to falls, due to decreased sensory integration for balance.