One- and two-stage concentrations using wedge-shaped concentrators were proposed as static solar concentrators, where the light changes its direction with specuIar reflection at the rear surface and refraction or total internal reflection at the front surface. The condition for the total internal reflection gives the critical tilt angle of the wedge and consequently determines the maximum value of the concentration ratio. When the tilt angle is larger than the critical one, only the reflection at the front surface lowers the collection efficiency. Two-stage concentration can give a higher concentration ratio than one-stage concentration. A truncated-cone-shaped concentrator with tracking system can give higher concentration ratios than the two-dimensional wedge-shaped concentrators.