A ceramic metal halide lamp is provided in which color rendering properties, especially a special color rendering index R9, are improved without causing lamp efficiency to be lowered substantially. In one aspect, a ceramic metal halide lamp includes a luminous tube in the interior of an outer bulb. The luminous tube is made from translucent ceramics and includes a light-emitting portion into which metal halides, mercury and a starting gas are sealed and capillaries with a pair of electrode assemblies extended thereto disposed at both ends of the light-emitting portion. The light-emitting portion has sealed therein at least thulium iodide (TmI3), thallium iodide (TlI), sodium iodide (NaI) and calcium iodide (CaI2). The light-emitting portion has further sealed therein silver iodide (AgI). A quantity of the AgI falls within a range of 2<=(AgI/CaI2)[molar ratio] <=5 and within a range of 0<(AgI/TlI)[molar ratio] <=10.