Today, occupational health and safety is a prominent issue in all branches of the industry. In Turkey, shipyards are highly prone to accidents related to occupational safety. Clearly defining hazard risks and taking precautions against identified priority risks are essential in preventing these risks. This study proposes a two-stage risk-assessment method based on spherical fuzzy sets (SFSs), which is a new fuzzy set theory. A systematic risk-assessment tool with the SFSs was developed combining two of the most reliable decision-making methods: "Analytical hierarchy process (AHP)" and "VlseKriterijumska Optimizacija I Kompromisno Resenje (VIKOR)." The proposed method was applied in a real case study considering the shipyards in Turkey. Results showed that the developed two-stage risk-assessment approach provides reasonable results in identifying high-risk hazards to ensure occupational safety in a shipyard. A sensitivity analysis was conducted to show the reliability and validity of the results.