Amplitude damping noise exists in many practical qubit systems with the loss of energy. The presentation of quantum Kraus operators of two-qubit system in amplitude damping channel was derived by using a common model in which two atoms are interacting with a single mode cavity resonantly. It provides a method by which concrete progress can be made on problems related to quantum information processing, such as bi-particle entanglement distribution and quantum error correction. Owning to its generality and convenience, this means is helpful to deal with real physical problems.