The dipole-dipole interaction of the two atoms is discussed. By considering the interaction between the two-mode squeezing vacuum state field and the environment(atoms),weinvestigate the quantum information fidelities of the atoms the field and the system in twomode squeezing vacuum state Tavis-Cummings model. With the help of the computer simulation,the time evolution of fidelity of system,atoms and field is obtained. The result is indicate that r and k are important to the fidelity of the quantum information. When the two atoms are initially in the groud state,decreasing r can increase the three fidelities. On the contrary,when the two atoms are initially in one of the Bell states,increasing r can increase the three fidelites.