Four full-scale joints were tested under low cyclic loading to verify the seismic performance of the proposed precast local reactive powder concrete frame beam-column joints. Based on the tests, a calculation method of strength and deformation was proposed according to the connection characteristics of the joints, and a theoretical model of a flat-topped trilinear skeleton curve was constructed. The curve stiffness values of each stage of the test hysteresis curve were obtained by theoretical calculation, and the relationship between the loading and unloading stiffness, as well as the loading drift ratio of the specimen under low cyclic loading, was obtained by fitting. The restoring force model was then established according to the hysteresis rule. The calculation results show that the trilinear skeleton curve and hysteresis curve established by theoretical calculation are in good agreement with the experimental results, which can better reflect the stress characteristics of this kind of connection joints in each stage and provide a theoretical basis for elastic-plastic analysis and seismic design.