In quantum teleportation with only generalized GHZ state participating, a kind of teleportation scheme of saving quantum resource is designed by analyzing the relationship between the quantum state to be transmitted, quantum channel and joint measurement base. In the problem of non-maximum generalized three-particle GHZ state quantum teleportation, arbitrary two generalized four-particle GHZ states are used as quantum channels. By analyzing the unitary transformation performed by the receiver, it’s found that when entanglement type of the non-maximum generalized three-particle GHZ state is consistent with that of the last three particles of the quantum channel, and the entanglement type of the joint measurement base and the first of the four particles in initial state are the same, the matrix that the receiver performs unitary transformation is the simplest. Results show that the optimal GHZ state quantum channel and GHZ state measurement basis selected for efficient invisible transmission are determined by entanglement type of the non-maximal generalized GHZ state to be transmitted.