We propose a scheme of probabilistic teleportation of an arbitrary three-particle entangled state via three pair nonmaximally entangled particles. Quantum teleportation can be successfully realized with a certain probability if the receiver adopts an appropriate unitary-reduction strategy. The probability of successful teleportation is determined by three smaller coefficients of the three entangled pairs. If the quantum channels are composed of three EPR states,complete teleportation can be realized by this method.