Abstract:Legendre polynomial′s photon added squeezing vacuum state is const ructed by operation of Legendre polynomial′s photon added operator on a squee zi ng vacuum state.By the technique of integration within an ordered product of op erators,its normalization coefficient is derived.Addition,we study its noncla ssical properties by examining the quadrature squeezing,anti-bunching effect, a nd sub-poissonian statistical property.The influences of the squeezing paramet e r and the order number of Legendre polynomial on its nonclassical properties are discussed.Numerical results show:firstly,it displays the squeezing effect,b ut its squeezing effect is weaker than that of a squeezing vacuum;secondly,alt hough the squeezing vacuum state has no the anti-bunching effect and the sub-p oi ssonian statistical property,it exhibits the anti-bunching effect and the sub -p oissonian statistical property;thirdly,as the squeezing parameter increases,i ts squeezing effect is strengthened,but its anti-bunching is weakened;fourthl y ,its squeezing effect,anti-bunching,and sub-poissonian statistical property are weakened with the increasing of the order number of Legendre polynomial.