In a light emitting diode package or a light emitting diode, a cover body having an opening with a reflecting surface is attached on an upper portion of a base body on which a light emitting diode element is mounted. The base body is formed of alumina ceramics having a pore diameter of 0.10 to 1.25 .mu.m or a porosity of 10% or more, and a thermal via is formed in the base body. Accordingly, it is possible to improve luminance and heat radiating characteristics of the light emitting diode package and the light emitting diode which uses alumina ceramics.