Disclosed is an LED luminaire, comprising a housing positionable at a building structure location. The housing has at least one light output boundary and configured to direct light therein toward the light output boundary. A light guide configured to be located at the light output boundary to receive light operationally contained within the housing, so as to emit non-directional light at the light output boundary. At least one first LED light engine is located within the housing, the at least one first LED light engine including at least one first LED light source to emit directional light at the light output boundary.