The invention relates to a lamp (4) and to a lighting system and device (1) for lighting interiors such as dwellings or offices, the LED lamp (6) including an LED-supporting body (5) having a substantially circular or polygonal crown-shaped plan and provided with a plurality of LEDs on one of the surfaces thereof, which body defines a hollow inner space (17) through which natural light can pass via means (22) for conveying natural light provided on the device, such as, for example, segments of reflective tube (2,2′) that convey natural light or an optical fiber (3b). The lighting system enables the transmission via a communication channel (13) of the signal generated by a transducer element (10), involving at least one element (11) for transmitting to the corresponding receiver elements (12) which modify the elements (7) that control each lamp.