Fixing the two-part Mason II radial head fracture using screws is becoming a popular practice. However, the screw fixation efficacy for three-part Mason III and IV fractures is controversial. The purpose of this study is to determine the effectiveness of using a uniform technique of headless compression screw fixation in simple, isolated Mason II and complex three-part Mason III and IV radial head fractures in terms of functional outcome, treatment efficiency and assessment of complications with the procedure. A prospective evaluation were performed on 31 adult patients with closed, non-pathological Mason II, III and IV radial head fractures sustained due to trauma and who underwent fixation using either two or three cannulated headless compression screws of 2.0 to 2.5 mm, and all patients were followed up for 2 years after the injury. They were divided into simple Mason II fracture group and complex three-part Mason III-IV fracture group. Operation time, time to discharge and radiological union were used as parameters for assessment of clinical outcome, while Mayo Elbow Performance Score, range of motion and complications were used to assess the functional outcomes. Twelve cases of two-part simple fracture group and 18 cases of complex fracture group were identified. The mean age of 39 years is comparable between the two groups. Both groups had comparable days to union, mean hospital stay and operation time. In the simple fracture group, the mean Mayo Elbow Score was 97 (80-100), which is better than the complex fracture group score of 89 (75-100), p = 0.035. Both groups had no statistical difference in complication rates. All fractures united in our series. The mean range of motion for the simple fracture group was significant, with 133° ± 17.0° for flexion-extension arc, 85° ± 5° in pronation and supination as compared to the complex fracture group with 120° ± 20° flexion-extension arc, 69° ± 10° in pronation and 70° ± 8° in supination, p = 0.068. Overall clinical and functional outcomes of this technique are satisfactory in both simple and complex fracture groups, with simple Mason II fracture group doing better than the complex three-part Mason III and IV fractures in terms of Mayo Elbow Score and range of motion. Screw fixation has the advantage of less periosteal stripping and less impingement compared to other fixation methods and also allows for flexible fixation in constrained areas. Headless compression screw fixation can be considered as a method of fracture fixation for both simple and complex three-part radial head fractures.