A scheme to teleport a superposition of three orthogonal states of an atom without Bell-state measurement in cavity QED is proposed. The scheme based on the resonant interaction of two A-type three-level atoms with a bimodal cavity. The detection of atom a collapses atom b to the initial state of atom a with cavity mode left in two-mode vacuum state.The probability of success and the fidelity of this scheme are 0.112 and 0.999,respectively.