Using the slave-boson mean-field approximation, we theoretically study the properties of the ground state of T-shaped-coupled quantum-dot Aharonov-Bohm （A-B） ring in the Kondo regime by means of one impurity Anderson Hamiltonian. It is found that in this system, the complex physical properties are determined by the interplay of the Kondo-Fano effect. When the free electron spin of quantum dot embedded in A-B ring is screened, with the increase of coupling between the dots, a giant increasing sharp persistent current （PC） peak appears, which implies that a giant Fano interference exists in this system. But, in this case, the Kondo PC peak is not affected. Thus this model may be a new candidate Kondo screening cloud.