The entanglement evolution and transfer of the double Tavis-Cummings model which are connected by the optical fiber are investigated. The results show that the initial entanglement between two atoms can transfer to the other two atoms, and the optical-fiber mode plays a part in transmission during the entanglement transfer process. The entanglement transfer can be influenced by the initial entanglement and the coupling strength not only between atom and cavity but also between optical fiber and cavity. The detuning between atom and cavity field and the cavity dissipation can also have an effect on the entanglement transfer. The initial entanglement can decide the value of generated concurrence, when the coupling strength between atom and cavity field is given, the stronger the coupling strength between optical fiber and cavity is, the shorter time of the entanglement transfer will be and the lager value of generated concurrence entanglement will be. Although the cavity dissipation makes the entanglement decay obviously, the detuning can restrain this phenomenon. During the whole entanglement transfer process, the concurrence between any other two subsystems in the system plays a role of bridge and this system can realize the teleportation and preparation of the bipartite entanglement state.