This paper reports on a new technique for measuring of birefringence to obtain stress fields using laser photoelasticity. This technique provides for the measurements of magnitude and the azimuth of the birefringence without the necessity of sample rotation. In order to check the validity of the technique, birefringence of a quartz waveplate was examined. Good quantitative agreement was obtained between measured values and the theoretical calculations. The cause of the error of the experimental results here is also discussed. It was confirmed that the error is consistent with the imperfection of a crossed state of polarizing prisms and with the tolerances of quarter-wave plates.