The information entropy squeezing properties of the atom in motion interacting with the two-mode squeezing vacuum field via two-photon transition are studied by means of quantum theory. The influences of the velocity of atomic motion,the field structure and the parameter of squeezing field on the information entropy squeezing properties of the atom are investigated as the initial atom is in any state. The results indicate that the value of squeezed component of the atomic dipole,squeezed frequency,amplitude and squeezed direction of the atomic information entropy can be controlled by choosing the atomic initial state,the velocity of atomic motion,the field structure and the squeezing factor of field and the squeezing phase angle of the field,respectively. In the longer time,squeezing effects of the atom in motion can be obtained by choosing the system parameters. The mixing degree of atomic initial state has no influence on the entropy squeezing of the atom in motion.