<正> In this paper,we study quadrature squeezings of two Bose-Einstein condensates with collision and non-classical properties of pair entanglement in four wave mixing in Bose-Einstein condensates.With the aid of a numericalmethod,we find that the two modes(pair entanglement modes)α1 and α2 may exhibit quadrature squeezing,in whichthey are affected by the initial phase.It is shown that the two pump modes exhibit the same super-Poissonian distri-bution.The analysis for the mode-mode correlation shows that there always exists a violation of the Cauchy-Schwartzinequality,which means that correlation between the two pump modes is nonclassical.