A filtering membrane module and a filtering apparatus having the same, which is capable of remarkably reducing a vibration of filtering membrane module during an aeration process for a maintenance cleaning of filtering membrane, and preventing a crack from occurring in the filtering membrane module by the vibration, wherein the filtering membrane module comprises a filtering membrane; a header, to which the filtering membrane is potted, including a first lateral side and a second lateral side opposite to the first lateral side; a first coupling unit provided at the first lateral side; and a second coupling unit provided at the second lateral side.