We report construction of an acoustic superlensing using two dimensional membrane-based negative-density metamaterials. When two point sources separated by a distance of 1/17 of the wavelength are placed near to a surface of the metamaterial slab, well-resolved images are formed on the opposite surface across the slab. The mechanism for the subwavelength resolution is the surface wave stemming from negative density. Potential applications include acoustic imaging and sensing. (C) 2015 AIP Publishing LLC.