The shipping industry, responsible for 3% of global CO2 emissions, is exploring nuclear power as a sustainable option to reduce its carbon footprint. While alternative fuels like hydrogen and ammonia are promising, nuclear power stands out for its efficiency and near-zero emissions. Nuclear-powered ships, like the U.S. Navy's fleet and the cargo vessel Sevmorput, showcase the reliability of this technology. Nuclear reactors utilize fission to generate heat, propelling ships through steam turbines. The innovation of molten salt reactors brings improved efficiency, safety, and waste reduction. These reactors operate at high temperatures, enabling easy refueling with liquid fuel and enhancing safety features. By using chloride-based molten salts, actinides produced during operation can be eliminated, reducing nuclear waste. The benefits of nuclear propulsion in shipping are evident. Nuclear fuel efficiency reduces costs and offers predictability in a volatile energy market. The infrequent refueling needs and compact engine rooms of nuclear-powered ships save time, increase operational flexibility, and allow for heavier loads and faster travel speeds, ultimately boosting profitability. Despite its advantages, nuclear power does pose security and safety concerns, such as the risk of accidents or terrorist threats. Public perception, regulations, and technology advancements need to address these challenges for widespread adoption. Countries like South Korea and China, along with private companies, are investing in nuclear-powered ships, hinting at a potential emission-free future for the cargo industry powered by nuclear reactors. The discussion around whether nuclear power is the key to decarbonizing shipping continues, with the need for further research and stakeholder engagement to pave the way for a cleaner and more efficient maritime sector.