Bright and efficient organic emitters of near-infrared light would be of use in applications ranging from biological imaging and medical therapy to night-vision devices. Here we report how a new class of Pt(II) complex phosphors have enabled the fabrication of organic light-emitting diodes that emit light at 740nm with very high efficiency and radiance due to a high photoluminescence quantum yield of 81% and a highly preferred horizontal dipole orientation. The best devices exhibited an external quantum efficiency of 24 plus or minus 1% in a normal planar organic light-emitting diode structure. The incorporation of a light out-coupling hemisphere structure further boosts the external quantum efficiency up to 55 plus or minus 3%.