The Pt/BiFeO3/La0.5Sr0.5CoO3/STO (Pt/BFO/LSCO/STO) heterojunction capacitors were fabricated on (1 1 0) SrTiO3 (STO) substrates by off-axis RF magnetron sputtering. The structure and physical properties of BiFeO3 thin films were investigated. It was found that the BFO film showed single phase (1 1 0) epitaxial perovskite structure with high crystal quality. The Pt/BFO/LSCO capacitor exhibited a saturated butterfly loop and a stable bipolar resistance switching behavior after post-annealing. The current-voltage characteristic of Pt/BFO/LSCO heterostructure is well explained by the space-charge-limited conduction mechanism.