The polarizer of the present invention is composed of mediums having different refractive indices, by which ordinary light in incidented light is wholly reflected at a boundary between laminated medium I and medium II and extraordinary light is transmitted through the medium II. The medium II is so arranged as to be almost 45.degree. to the light axis, and thickness of the medium II is selected as a value with which the medium II works as a half wave length plate to the transmitting light. The polarizer, which has high transparency by reduction of absorption and is able to make most of incident light be similarly polarized light, is obtained. A polarizer for and apparatus for bright liquid crystal display, which is able to be enlarged to a large size display without light absorption, can be provided.