Shear moduli of the sand and the decomposed granite soil were measured under low confining pressures below 5kPa. Test apparatus used in these tests is Kellman's type shear box fixed on a shaking table. The size of the specimen is 60cm in diameter and about 7.5cm in height. As a result of this investigation, it is shown that shear moduli of the sand and the decomposed granite soil increase in proportion to the effective confining pressure to the power 0.66 and to the power 0.75 respectively.