In this study, we used a displacement-based seismic design method to test the seismic performance of a new type of unbonded prestressed prefabricated concrete beam-column frame joint and to investigate the overall seismic design of an unbonded prestressed prefabricated reinforced-concrete-frame structure with new beam-column joints. First, we used sap2000 finite element software to design a prestressed three-dimensional structure and establish a corresponding finite element model. In addition, we established a model of the beam restoring force of the beam-column joint to determine its constitutive relation to the self-defined plastic hinge. We then performed a pushover analysis to characterize the seismic performance of the structure and compared it with the corresponding performance level requirements under different target displacements. Based on the results of the elastic-plastic pushover analysis of the structure with uniform load in the Y direction, we analyze and discuss the story drift ratio and failure mechanism of the structure. The results show that according to a design featuring "good function," "life safety," and "prevention of collapse," the expected results are achieved and the story drift ratio and weak-story performance can meet the corresponding code requirements. Three seismic waves are selected to analyze the elastic-plastic dynamic time history of the structure, the results of which indicate that the structure fabricated using the new beam-column joint can meet the relevant requirements regarding seismic performance in the displacement-based seismic design.