An RRAM array is provided. The RRAM array includes a plurality of horizontal electrode lines elongated in a horizontal direction. The RRAM array also includes a plurality of conducting structures elongated in a vertical direction. Each of the conducting structures includes a plurality of electrode blocks and a plurality of contact vias which are alternately arranged. The electrode blocks and the electrode lines are on the same horizontal planes. The RRAM array further includes a plurality of resistance variable elements sandwiched between the electrode lines and the electrode blocks.