The metal products industry, including the aluminum extrusion industry, is one of the sectors with high risk in terms of occupational health and safety (OHS). Considering this fact and the increasing trend of occupational accidents in the sector, the need to enhance occupational safety becomes clear. Therefore, this study proposes a quantitative occupational risk assessment by a sorting-based technique for order performance by similarity to ideal solution (TOPSIS-Sort) methodology to manage risks in the aluminum extrusion industry. A sorting-based methodology is proposed since the necessity of making a risk classification according to the obtained risk value, which is an important process in risk assessment. The methodology has been demonstrated by evaluating 28 potential hazards under three risk parameters (probability, severity and frequency). The assessed hazards are divided into five risk clusters (Very high risk, High risk, Substantial risk, Possible risk, and Risk) and control measures that will initiate the reduction of risks have been determined. Results of the study show that while one hazard has been placed in the Very high risk cluster, 3 in the High risk cluster, 23 in the Substantial risk cluster and one in the Possible risk cluster.