An embodiment of a lighting system for illuminating an environment with a lighting that simulates natural lighting includes: a first light source which emits a beam of visible light; a diffused-light generator delimited by an inner surface, which receives the light beam, and an outer surface, the diffused-light generator being at least partially transparent to the light beam. The diffused-light generator transmits at least part of the light beam and emits, through the outer surface, visible diffused light, the correlated color temperature of the transmitted light being lower than the CCT of the visible diffused light. The lighting system includes a dark box which hosts the first light source, the dark box being optically coupled to the environment via the diffused-light generator.