Self-centering connections are systems used in structures to minimize earthquake damage by eliminating residual drift. In this research, a reference connection sample from six Garlock connection samples was selected for verification and evaluation and was simulated in Abaqus software and subjected to cyclic loading up to 4% of relative drift of the floor. In this article, parametric sensitivity analysis under cyclic loading was performed on three parameters, including yield strength of angle, cable post-tensioning force and cable cross-sectional area. In the range of changes in self-centering connection parameters, the results of cyclic loading show that yield strength of angle causes a slight increase in the bending capacity of the connection and the power of the connection in bearing lateral load. The increase in the post tensioning force and cable cross-sectional area leads to an increase in the self-centering property of the connection as well as the bending capacity of the connection and the lateral load capacity. By changing the number of cables, the results showed that with the increase in the number of cables, the stiffness increases and the ductility decreases, Moreover, the increase in self-centering force can lead to beam damage.