Disclosed is a lighting device (1) comprising a housing (80), an air inlet (22) and an air outlet (24); a support structure (30) in said housing extending in between said air inlet and said air outlet, said support structure including a section (32) carrying at least one solid state lighting element (10); a conduit (20) from said air inlet to said air outlet such that the conduit extends over the support structure; and a fan (40) mounted in said conduit, wherein the fan is located closer to the air inlet than to the air outlet. A luminaire including such a lighting device is also disclosed.