Building a resource-saving society and achieving energy conservation and emission reduction is a strategic decision for China's current social development. Zero-energy buildings realized by the synergy of low-energy energy-saving technologies and renewable energy utilization technologies have become the ultimate quantitative index of sustainable buildings. Therefore, from the perspective of the development trend of residential buildings, near-zero-energy residential buildings oriented to zero energy consumption will become one of the goals of residential building development in China in the future. Recently, building performance simulation technology has been widely used for energy-efficient design. This study focuses on zero energy oriented residential building design, taking the integration of complex systems in terms of building design, energy technology, and economics as the guide, establishing the coupling relationship between the parameters of each system, and adopting a multi-objective optimization approach to find the optimal energy-saving design solution. Based on the parametric design tool of the Grasshopper platform and the Non-Dominated Sorting Genetic Algorithm II, the study explores a multi-objective optimization design approach for zero energy oriented residential buildings to achieve the lowest total air-conditioning and heating load, the highest photovoltaic power generation, and the lowest investment cost. Nine control variables that affect these three objective functions are quantitatively evaluated and analyzed. The design process and analysis model for the multi-objective optimization of zero energy buildings are established, and the feasibility and technical routes for achieving zero energy for typical building types in different climate zones are compared and analyzed, providing a theoretical basis and parametric design method for the practice of zero energy residential building design across different climate zones in China.