(001) oriented(BiFeO3)25/(La0.7Sr0.3MnO3)25 multilayered thin films are fabricated on (001)SrTiO3 substrate by rf-magnetron sputtering. UV-vis absorption spectrum analysis in a photon energy range of 1.2-6.4 eV is carried out, and the result shows that in a range of 1.3-2.1 eV the absorption is enhanced compared with that on SrTiO3 substrate. And the optical band gap of BiFeO3 is around 2.7 eV, which is in accordance with other reportsed results very well. Furthermore, the current-voltage curves are measured in a temperature range of 100-300 K, and the analyses according to several dielectric conduction models exhibite that the space-charge-limited conduction is dominated in the fabricated (BiFeO3)25/(La0.7Sr0.3MnO3)25 multilayered thin films.