The disclosure generally relates to concentrating daylight collectors and in particular to concentrating daylight collectors useful for interior lighting of a building. The concentrating daylight collectors generally include a cassegrain-type concentrator section that provides for a full-tracking solar collector with one moving part and with a high efficiency of coupling of collected solar irradiation to a stationary duct. In some cases, the disclosed concentrating daylight collectors can be used more conventionally, such as for directing sunlight onto a photo-voltaic cell for generation of electrical power, or an absorbing surface for extraction of thermal energy.