Abstract: The design of the double containment for the reactor building is one of the major evolutions of the third-generation CEPR technology for improving nuclear safety, for which the structural design is more complex, and the construction is more difficult and the quality and schedule control is key to the project. To overcome the challenges of the new design and organize the construction in a proper and efficient way is of great significance to the self-reliance and economics of CEPR nuclear power technology. Based on the experiences gained from similar projects both home and abroad, the Taishan nuclear power project phase I adopted the innovative measures of steel liner design optimization, modularized construction and the construction sequence of the inner containment before the outer containment. Thanks to these efforts, the unit 1 from first concrete to dome lifting only took 24 months, with both quality and schedule superior to similar projects. This paper summarizes these experiences and gives some suggestions of improvement, so as to serve as a reference for the construction of similar projects in the future.