Xmon qubits, while another end is an asymmetric DC-Squid which dominates the inductive energy of coupler resonator. The DC current applied through the bias line can change the magnetic flux inside the DC-Squid, so the frequency of coupler resonator can be effectively tuned and the qubit-qubit coupling can be totally switched off at a certain frequency. As the increase of junction asymmetry for the DC-Squid, the coupling of Squid’s effective phase difference and cavity modes become smaller at required working frequency regime of coupler resonator, and this could reduce the descent of the resonators quality factor. The separation between two cross-capacitor can be larger with help of transverses width of the T-shape resonator, and then the ZZ crosstalk coupling can be effectively suppressed. The asymmetric DC squid is about 5 millimeters away from the Xmon qubits and only needs a small current on the flux bias line, which in principle creates less flux noises to superconducting Xmon qubits.