Carbon peaking and carbon neutrality goals are important national policies which will guide the direction of economic development. Since the proportion of carbon emission caused by construction industry is considerable, the degree of carbon emission control in each link of the industry is directly related to the success or failure of the overall double carbon control objectives. Reduction of building material cost is one of the most efficient ways to meet double carbon goals, and it requires that more advanced design method and conception should be employed in structural design. However, the safety of the structure exposed to seismic action is another important issue in design process. Structural reinforcement for the structure itself is the most conventional way to reduce the earthquake hazards, but it would result in the increase of the cost of building materials. In order to resolve the contraction, it is necessary to make more efforts for optimizing the design conception. In this paper, the relationship between seismic design and double carbon goals is discussed, and some conclusions about the novel seismic design conception based on double goals are given. On the one hand, it is suggested that different seismic design strategy should be employed in the design of the structures in different earthquake zones. For the structure in the low seismic intensity area(6 degrees and below) and some medium seismic intensity area(7 degrees) where the seismic combination condition does not play a controlling role, the requirements of structural ductility can be reduced, and the seismic safety can be achieved by improving the seismic bearing capacity. For the structure in the high seismic intensity area(8 degrees and above) and some moderate intensity area(7 degrees) where the seismic combination conditions play a controlling role, some structural systems meeting the double goal conception could be adopted, such as double seismic resistance structure, self-centering structure and rocking structure, etc., and the seismic cost of the structure itself should be reduced by means of increasing energy consumption and isolation. On the other hand, it is supposed to use IO state to represent the seismic design objective. It is not advisable to overdesign the elastic anti-seismic capacity for the buildings specified in the No. 744 regulation file. Some low-level plastic deformation should be allowed in medium intensity earthquake, and IO state could be used to describe the threshold of allowable plastic deformation.