Various approaches are being pursued to realize compact optical elements with the ability to manipulate light, but it is difficult to simultaneously achieve high reflectivity and the ability to see through the element. Here, we present a reflective computer-generated hologram that is completely transparent in the visible, based on the Berry (geometric) phase in a self-organizing Bragg reflector. The Bragg reflector has a helical dielectric tensor distribution with the phase information imprinted in the distribution of the optic axis on the substrate. The structure possesses only a single Fourier component and high-order reflections are suppressed; thus, the device appears completely transparent by setting the main reflection band outside the visible range for all angles of incidence accessible by ambient light. On the other hand, the encoded phase information can be played back using visible light by increasing the accessible incidence angle, which we demonstrate experimentally by (i) attaching a coupling prism, and (ii) integrating the device in a waveguide. Bragg-Berry reflectors thus enable a new route to realize advanced optical elements with no apparent reflection in the visible region. Conventional optical systems use bulky lenses and mirrors to control light propagation, but the spread of wearable devices is pushing the need for compact optical elements with the capability to control light 1. One of the most intensively pursued technologies is the metasurface, in which sub-wavelength structures are used to control the amplitude, phase, and polarization of impinging light 2,3. For a given material and wavelength, arbitrary complex transmittance can be realized by nanostructure design; thus, various, and often numerous functions can be integrated in an ultra-small device by designing the distribution of nanostructures. In particular, algorithms developed for computer-generated holography (CGH) can be employed to numerically obtain the complex transmittance distribution required to achieve a particular optical functionality 4,5. Metasurface deflectors 2,6,7 , lenses 6-11 , holograms 11-16 , and beam shapers 17 , both operating in infrared (IR) and visible wavelengths, have been demonstrated. Another approach to control light is to use the geometric phase or Pancharatnam-Berry (PB) phase in anisotropic media 18,19. When circularly polarized (CP) light propagates through an anisotropic medium with half-wave retardation, the light flips its polarization handedness as well as acquires a phase that is proportional to twice the azimuthal orientation of the optic axis 20-28. Thus, various optical functions can be realized by appropriately designing the optic axis distribution. Liquid crystals (LCs) are particularly attractive materials to realize devices based on the PB phase effect 21-28 , since they possess the potential for the fabrication of large-area devices by coating the materials on a substrate with appropriate patterning. Deflectors 22-24 , phase plates for vector coronagraphy 25 , and holograms 26-28 have...