Quantum properties of the system comprising two two-level atoms and resonant interaction with two coupled cavities which are in weak coherent states initially are studied. The atomic dipole squeezing is investigated. The results obtained using the numerical method show that atomic dipole squeezing is weakened with the increase of the coupling constant of the coupled cavities. On the other hand, atom-atom entanglement is also weakened with the increase of the coupling constant of the coupled covities, and this result is contrary to that of the case that the coupled cavities are in vacuum state initially.