Based on the reference [4],a dipole amplitude-squared operator of a three-level atom is defined,and a dipole amplitude-squared squeezing of a three-level atom is also given with the uncertainty relationship of Hessenbery. The dipole amplitude-squared squeezing effects of a threelevel cascade atom interacting with a correlated two-mode squeezed vacuum field are investigated. Based on the numerical calculations,the influences of the squeezing parameters of the initial squeezed state field,the frequency detuning value of the mono-photon and the intensity of atomfield coupling on the atomic dipole amplitude-squared squeezing are discussed.