A simple experimental scheme to generate N-qubit atom cluster states is proposed.The task can be realized through the interaction between two three-level atoms within a nonresonant cavity and meanwhile driven by a classical field. During the interaction time,the cavity field is only virtually excited,and no quantum information transfer between the atoms and the cavity is required.The scheme is implemented without any measurement. Time of implemenation of the protocol does not change with the increase of the number of qubits. Our scheme can be realized under current technology.