Applying the inverse operator of the Boson creation operator and the Boson annihilation operator to the usual squeezed vacuum state, deplete squeezed vaccum states are fabricated and their anti-bunching properties of photons are studied by calculating their corresponding second-order correlation functions, respectively. For both cases, the theoretical results show that for these quantum states anti-bunching effects appear when k, the number of depleted photons, are even, and bunching effects appear when k are odd. The parameter η of the squeezed vacuum states corresponding to the anti-bunching effects is related to k. With the inverse operator of the Boson creation operator acting on the squeezed vacuum states the range of parameter η expands with the increase of k, which are contrary to the situation with the Boson annihilation operator acting on. The relation curves between the second-order correlation function of the deplete squeezed vacuum states and the parameter η are also plotted to describe the anti-bunching effects.