Advanced nuclear energy technology and green computing power technology are both typical representatives of new quality productive forces, and are of great significance for the future development of artificial intelligence and the transformation of green energy. In recent years, the collaborative development model between nuclear energy and computing power centers has been burgeoning. The formation basis of this collaborative development model, as well as the advantages of the business model in the fields of energy conservation and carbon emission reduction, economic profitability, safety and stability, resource saving and market absorption were introduced. The two potential coupling models of electricity purchase-sale model and off-grid direct supply model were also discussed. At the same time, the article also focused on the challenges from the fields of policy, regulations, technology, cost and market, and outlined the typical business experiments abroad. Finally, recommendations are elaborated on in three aspects including technological advancement, commercial innovation and policy support.