Time evolution of state vector of the system of V-type three-level-atom interacting with two-mode cavity field is obtained.An alternative scheme is proposed for teleportation of an unknown atomic-entangled state without the Bell-state measurement.The scheme is based on the resonant interaction of V-type three-level-atom with two-mode cavity field.By means of selective measurement on the atom to be teleported state,it follows that the teleportation of an unknown atomic-entangled state is realized.And the scheme is experimentally feasible based on the current cavity QED technique and the success probability is 1/16.