A method and a device for encoding and reconstructing computer-generated video holograms using a conventional LC display: it provides holographic reconstruction of three-dimensional scenes using electronically controllable pixel in a holographic array (3) with a conventional resolution, and is reasonably free from flickering and cross-talk. Reconstruction is in real time, and for both eyes at the same time, over a large viewing zone. The method takes advantage of an optical focusing means (2) in order to image vertically coherent light emitted by a line light source (1) into viewing windows (8R, 8L) after modulation by the pixel array (3). The holographic reconstruction (11) of the scene is rendered visible from viewing windows (8R, 8L) for both eyes of an observer by way of diffraction at the pixels. According to the invention, the controllable pixels are disposed in vertical pixel columns (15, 16), which encode separate holograms of the same scene for each of the viewer's eyes (R, L), where said holograms are one-dimensional in the vertical direction and horizontally interleaved. An image separation means (7) with separating elements arranged parallel to the pixel columns reveals the respective pixel columns (15, 15′ or 16, 16′) for one eye and covers them for the other eye.