A design method was proposed for self-centering concrete frame joints with energy-dissipation angle steel. A numerical analysis model was established and its validity was verified by experiments. After the joints with different prestressed moment capacity ratio φdes were simulated, the energy dissipation capacity, self-centering performance and material damage under low-cycle repeated loads were studied. Changing the screw gauge distance of angle vertical leg, the measures to improve its energy-consumption capacity were further explored. The results show that the angle energy-consuming joints have perfect self- centering performance, but the energy consuming capacity is slightly insufficient. As the value of φdes decreases, the residual deformation increases and the self-centering ability decreases, but the energy dissipation ability increases. Therefore, compared with the hybrid connection joint, the φdes value of joint should be appropriately reduced to make up for its insufficient energy dissipation. The plastic deformation of the Angle vertical leg is the main energy dissipation mode of the joint, concentrating on the height of the bolt hole and the turning of the vertical leg. If the distance between the vertical screws is reduced and the other material parameters keeps unchanged, it will lead to a decrease in φdes values, an increase in the bending capacity of the section and an increase in the energy dissipation capacity of the joint.