Effective patient-centered care requires an adequate understanding of patient preferences for different therapeutic options. We modelled patient preference for blood pressure (BP) management by pharmaceutical or interventional treatments such as renal denervation in patients with different profiles of uncontrolled hypertension. Modeling was based on the findings from a previously conducted quantitative discrete choice experiment (DCE). The likelihood of selecting either an interventional treatment option or additional antihypertensive medication option was calculated for three patient profiles that represent the range of patients with hypertension commonly encountered in clinical practice: treatment-naive, patients with uncontrolled BP while on one to three antihypertensive medications, and patients with drug-resistant hypertension. Variables in the preference model were treatment attributes from the DCE study: expected reduction in office SBP with each treatment, duration of treatment effect, risk of reversible drug side effects from drugs, and risk of temporary pain and/or bruising or vascular injury from interventions. Values of the variables were derived from published clinical studies or expert opinion. The model predicted that the likelihood of choosing renal denervation over initiating pharmacotherapy was 17.2% for previously untreated patients, 23.7% for patients with moderate hypertension currently on pharmacotherapy, and 41.8% for patients with drug-resistant hypertension. The dominant variable driving preference in these models was the expected BP reduction. Patient preferences for intervention are greater when drug nonadherence or increased SBP reduction at 3 vs. 1 year are included in the model. Baseline BP, drug side effects, or risks of the procedure had little influence on decisions. Modeling using patient preference weights predicts that a substantial minority of patients favor an interventional treatment such as renal denervation over initiation or escalation of medications. Awareness of a patient's interest in device-based versus pharmaceutical strategies should inform the shared decision-making process for hypertension treatment.