Two schemes for teleporting an unknown two-particle entangled state via a four-qubit non-maximally entangled cluster state as quantum channel are proposed. In the first scheme, a special bipartite entangled state was teleported, the receiver Bob can reconstruct the original state with a certain probability according to the sender Alice’s measurement results, and the successful probability is determined by the smallest two coefficients’ absolute values of the cluster state. In the latter scheme an arbitrary two-particle entangled state was teleported. Contrast to the first scheme, Bob should perform a quantum controlled phase gate operation besides the unitary transformation. The considerable advantage is that it employs a non-maximally entangled cluster state as quantum channel in these two schemes. Thus, the schemes can greatly reduce the amount of entanglement resources and need less classical bits.