A series of superconducting phases has been synthesized by powder sintering in T1-Ba-Ca-Cu-O system and the crystal structures of these superconducting phases have been determined with the X-ray powder diffraction method. All of these superconducting phases belong to the tetragonal symmetry. They have the same lattice constant α but a different lattice constant c. The crystal structures of these superconducting phases are composed of two units, i. e. intercalation (single T1-Olayer or double T1-O layers) and oxygen deficient pseudo-perovskite unit Ba2Can-1CunO2n+1 (n is an integer). These superconducting phases can be divided into two types. Type Ⅰcontains only one single T1-O layer as an intercalation with primary tetragonal lattice and space group P4/mmm. Type Ⅱ contains two T1-O layers in an intercalation with a body-centered tetragonal lattice and space group I4/mmm. The chemical formulas of Type Ⅰand Type Ⅱcan be generalized as TIBa2 Can-1 CunO2n+2.5 (n=1, 2, 3, 4) and T12Ba2展开▼