Abstract: A T matrix method based on the boundary integral equation (TMM-BIE) is presented for calculating sound scattering by an arbitrary shape rigid object. In this method, the Helmholtz integral equation method (HIEM) is used to calculate the sound pressure on the surface of object instead of the superposition form of basis functions on the surface in the extended boundary condition method (EBCM). The problems in calculating T matrix of large aspect ratios and arbitrary shape object by EBCM are solved. The method is proved by comparison of the calculation results of this method and theoretical results or HIEM to calculate the scattering by a rigid sphere, a rigid finite-cylinder, a cat's-eye structure.