For a person who is not on anticoagulant therapy, the normal INR range is typically between 0.8 and 1.2. However, for patients on anticoagulants, the target INR range is generally between 2.0 and 3.0, although this can vary depending on the condition being treated. For example, a higher INR range of 2.5 to 3.5 might be targeted for patients with mechanical heart valves.