This paper presents a seismic reinforcement approach to a frame structure, which was added from four-storey to six-storey, and is located at degree-8 earthquake intensity zone and type-II site, by using the Friction Damper. Firstly, the dynamic performance of the original structure had been tested and the performance parameters had been gotten, which were used to build up the F.E. model and to check its accuracy. Secondly, the structure simulation analysis was conducted by using the constructed F.E. model. Finally, the seismic strengthening of the frame structure being added to six-story was analyzed and calculated by using Friction Damper. This has effectively improved the structure seismic performance and the seismic performance of the reinforced structure meets well with the seismic code requirements. This approach will be helpful for the structural design engineers and the researchers.