A display apparatus that can perform a high quality moving picture display and provides improved color purity, and an illumination device used in the display apparatus are provided. The display apparatus includes an illumination device that includes a first light source that emits light of a first color and a second light source that emits light of a second color complementary to the first color, a gate driver that sequentially selects each of scanning lines at a cycle of 0.5 frames, a data driver that, at a first half of one frame time period, writes a data signal into each of pixels of the first color, and at a latter half thereof, writes a data signal into each of pixels of the other two colors; and a switch circuit that, at the first half of one frame time period, switches on the first light source while switching off the second light source, and at the latter half of the time period, switches on the second light source while switching off the first light source.