The fact exists that since the acceleration induced in the saturated sand deposits during reliquefaction is smaller than that during past liquefaction, the reliquefaction potential of those deposits is quite large. In order to confirm this fact experimentally, liquefaction tests on saturated sand layer using Kjellman's shear box were carried out. It is found from the tests that the reliquefaction potential of a sand layer subjected to larger acceleration and shaking time during first liquefaction becomes much higher. Furthermore, it is confirmed that the reliquefaction potentials of the sand layers subjected to double amplitude of shear strain (γ_D)=5.0% and 13.4% during first liquefaction are the same.