A scheme is proposed for realizing a controlled teleportation of an arbitrary superposetion state of an two-qubit quantum system. The resource consumption includes a prearranged six-qubit entangled quantum channel and some classical communication resources. And the quantum operations used in the teleportation process are Bell-state measurements, H-gates, single-qubit measurements and Pauli gates. It is shown that the original state can be restored by the receiver only on the condition that all the agents collaborate. If one ag...