We demonstrate experimentally that disordered scattering can be used to improve, rather than deteriorate, the focusing resolution of a lens. By using wavefront shaping to compensate for scattering, light was focused to a spot as small as one tenth of the diffraction limit of the lens. We show both experimentally and theoretically that it is the scattering medium, rather than the lens, that determines the width of the focus. Despite the disordered propagation of the light, the profile of the focus was always exactly equal to the theoretical best focus that we derived.Optical microscopy and manipulation methods rely on the ability to focus light to a small volume. However, in inhomogeneous media, such as biological tissue, light is scattered out of the focusing beam. Disordered scattering is thought to fundamentally limit the resolution and penetration depth of optical methods [1,2,3]. Here we demonstrate in an optical experiment that this very scattering can be exploited to improve, rather than deteriorate, the sharpness of the focus. Surprisingly, the resulting focus is even sharper than in a transparent medium. By using scattering in the medium behind a lens, light was focused to a spot as small as one tenth of the diffraction limit of that lens. Our results, obtained using spatial wavefront shaping, are valid for all methods for focusing coherent light through scattering matter, including phase conjugation [4] and time-reversal [5]. We anticipate that disorder-assisted focusing will improve the imaging resolution of microscopy in inhomogeneous media. The starting situation of the experiment is shown in Fig. 1a: a lens focuses a beam of light onto a CCD camera. In this 'clean' system without disorder, the sharpness of the focus is limited by the numerical aperture and the quality of the lens. We now disturb the light propagation by placing a non-transparent scattering object in the beam path. Although initially the focus disappears, the focus can be restored by shaping the wavefront of the incident light using a spatial light modulator[6] (see Fig. 1b). Here we report and analyze a surprising property of the restored focus: the experimentally obtained focal spot is smaller than the diffraction limit of the clean system. We show both experimentally and theoretically that it is the scattering medium, rather than the lens or the quality of the reconstruction process, that determines the width of the focus. In Fig. 2a we show the measured intensity distribution in the focal plane of the clean system. Ideally, the lens would focus light to an Airy disk with a full width at half maximum (FWHM) of w = 1.03λf 1 /D 1 . In our experiment, λ = 632.8 nm, f 1 = 200 mm, and D 1 = 2.1 mm, FIG. 1: Schematic of the experiment. Light coming from a phase modulator is imaged on the centre plane of a lens, L1 (modulator and imaging telescope not shown). The numerical aperture of the lens is controlled by a pinhole. A CCD camera is positioned in the focal plane of the lens. (a), 'Clean' system without disorder. Light is focused to a...