A luminaire for indirect lighting has a main reflector, a counter-reflector with a light emission window in a plane T. The counter-reflector and reflector are oppositely arranged. The main reflector has a reflecting surface built up from a plurality of facets n having a curvature in cross-section. The curvature of each respective facet n is such that light coming from a light emission window and hitting a given facet n is reflected through an angle of reflection Φn<=αn−β, in which, β is a smallest angle of reflection with the plane T at which glare is just counteracted, and αn is a greatest angle of reflection with the plane T at which reflected light just clears the counter-reflector.