The global transition to clean energy requires scalable, low-carbon hydrogen production to decarbonize sectors like industry, transportation, and power generation. Nuclear energy, with its ability to provide high-temperature heat and stable electricity, presents a promising solution for large-scale hydrogen generation. This paper reviews nuclear hydrogen production technologies, evaluating their potential and key challenges. Three primary hydrogen production pathways—high-temperature steam electrolysis (HTSE), thermochemical cycles, and steam methane reforming—along with two advanced nuclear reactors: High-Temperature Gas-cooled Reactors (HTGRs) and Molten Salt Reactors (MSRs) are investigated. Environmental, economic, and safety considerations are integrated into the analysis. Findings indicate that HTSE and thermochemical cycles offer high efficiency, while HTGRs and MSRs provide effective integration of nuclear power into hydrogen production, offering a cost-effective and environmentally friendly alternative. However, challenges remain, such as material degradation at high temperatures, reactor-hydrogen plant integration complexities, and safety concerns. The study concludes that nuclear hydrogen production holds significant potential to contribute to global net-zero targets. Future research should focus on material innovations for high-temperature durability, optimizing reactor-hydrogen plant integration, and establishing policy frameworks to address cost barriers. Additionally, exploring synergies between nuclear and renewable energy sources in hybrid systems could provide flexible, co-generated hydrogen and electricity, improving system efficiency. By addressing these challenges, nuclear hydrogen can play a pivotal role in advancing a sustainable, low-carbon energy future.