The present invention discloses a resistive-switching memory and the fabrication method thereof. The resistive-switching memory comprises a substrate, a top electrode, a bottom electrode, and a resistive-switching material interposed between the top and bottom electrodes, wherein the central portion of the bottom electrode protrudes upwards to form a peak shape, and the top electrode is in a plate shape. The peak structure of the bottom electrode reduces power consumption of the device. The fabrication method thereof comprises forming peak structures on the surface of the substrate by means of corrosion, and then growing bottom electrodes thereon to form bottom electrodes having peak shapes, and depositing resistive-switching material and top electrodes. The entire fabrication process is simple, and high integration degree of the device can be achieved.