The three-mode squeezed vacuum state is proposed by using of a new three-mode squeezing operator acting on a three-mode vacuum state. With two of the three modes measured, the influence of the selective measurement on squeezing effect, antibunching effect and photon statistical distribution of the third mode is discussed. The results obtained show that on the one hand, if the first and the second modes are selectively measured in a two-mode squeezed state, the state vector of the third mode collapses onto single-mode squeezing state and squeezing of the third mode is strengthened. On the other hand, nonclassical properties of photon statistical distribution is strongthened by measuring the quantum state, which has no effect on antibunching of the third mode.