Two two-level atoms are separated in two initially empty cavities that are connected by an optical fiber. The temporal evolution in the entanglement between the cavities as well as between the atom and the local cavity mode were investigated. The influence of the state-selective measurement on the entanglement and that of atom-cavity coupling coefficient on the entanglement were discussed. The results show that the entanglement between the cavities as well as between the atom and the local cavity mode can be strengthened through the state-selective measurement on the atom.