Zhao et al . proposed a quantum teleportation scheme for an unknown six-qubit entangled state using an eight-qubit cluster state as a quantum channel. In their scheme, the sender needs to operate an eight-qubit von-Neumann projective measurement. Some improvements have been made to their scheme, which uses a four-qubit cluster state as a quantum channel to transmit the unknown six-qubit entangled state. In the improved scheme, to complete the task of quantum teleportation, the sender only needs to perform simple gate operations and single-qubit measurements, and the receiver needs to perform appropriate unitary operations and introduce four auxiliary particles. The principle verification experiment of the proposed scheme is carried out on the cloud-based quantum computing platform of IBM company. Compared with the previous schemes, the proposed scheme has the advantages of low resource consumption, high transmission efficiency and easy experiment implementation.