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 agent does not cooperate, the original state can not be fully recovered.