With the method of constructing new quantum states by operators acting on re ference states,we introduce the superposition of the single-mode photon subtra c tion and photon addition excited squeezed three-mode vacuum state (SPSAESVT) th a t is generated by operation of the superposition of the single-mode photon subt r action and photon addition on squeezed three vacuum state.We derive its normali zed coefficient and the three-mode squeezing transformation relation by the tec h nique of integration within an ordered product of operators.Quantum properties of SPSAESVT,such as squeezing effect,anti-bunching effect and entanglement pr o perty between two modes,are investigated.The influences of the squeezing param eter and the superposition coefficient of operators on its non-classical proper t ies are discussed by using the numerical method.The calculation results show:f irstly,there is a nonlinear relationship between the squeezing effect and the s queezing parameter or between the entanglement and the squeezing parameter,and so is between the anti-bunching effect and the superposition coefficient;secon d ly,the squeezing effect and the entanglement between two modes are all strength ened with the increasing of the superposition coefficient t;thirdly,a s the squeezing parameter increase the anti-bunching effect is strengthened.