A scheme to probabilistically teleport an arbitrary n-particle entangled state using n pair non-maximally entangled state as the quantum channel via entanglement swapping is proposed. During the teleportation procedure, the sender Alice makes Bell-state measurements on her particle pairs and tells receiver Bob the measurement result through classical communication. According to the classical message, Bob makes corresponding unitary transformation on his own particles to reconstruct the original state. In this scheme, all particles are divided into n groups (i,ix,iy,ai,i=1～n). The advantage is that the complex unitary transformation for n+1 particles in 2n+1-dimentional Hilbert space is avaided. In each repeat operation, only simple unitary transformation for 2 particles in 4-dimentional Hilbert space is made, which considerably reduces difficulty in experiment. Then quantum logic circuit is shown for probabilistic teleportation of n-particle state and logic circuit for the particle group (i,ix,iy,ai) is given as well. Result shows that the total probability of successful teleportation is 2n∏ni=1ci2.