A solid state illuminator for a stereoscopic display includes a first solid state light source, a wavelength conversion color wheel, an actuator, a multi-band filter, and an optical module. The first solid state light source provides a first light beam with a first wavelength. The wavelength conversion color wheel includes a first transmission segment and a reflection segment. The first light beam passes through the first transmission segment and is converted into a second light beam with a second wavelength, and is reflected by the first reflection segment and is converted into a third light beam with the second wavelength. The multi-band filter transmits a portion of each of the second light beam and the third light beam, and reflects another portion thereof. The wavelength ranges of these two portions are not overlapped. The optical module guides light beams to the multi-band filter.