The influence of atomic motion on squeezing of the double-mode field in the interaction with a moving V-type three level atom is investigated by means of the quantum theory and the method of numerical analysis. The results show,on the one hand, when the initial photon field is in non-correlative coherent state of double-mode, only the quadrature U1 is squeezed and the squeezed degree of U1 increases with the increasing of the parameter β which describes the atomic motion and structure of the field mode. On the other hand, when the initial field is in the vacuum squeezed state of double-mode, the quadrature U2 is squeezed principally and we can obtain a steady squeezed light by choosing an appropriate parameter β.