Two different measures of entanglement, concurrence and negativity, were used to study the evolution of the two Jaynes-Cummings atoms and the transfer of the entanglement between the subsystems. The effect of the initial entanglement degree of two atoms on the time evolution of entanglement was analyzed. It is found that the amplitude of the entanglement depends on the initial entanglement degree while the length of time interval for the zero entanglement does not. The maximally entangled state between the two cavities was created. Moreover, the numerical analysis shows that the initial entanglement of the two atoms flows into the other subsystems and leads to entanglement sudden death and entanglement sudden birth in the evolution.