The quantum properties of atoms in double-atom Tavis-Cummings model with Gaussian atom-field coupling are studied. The influence of atomic motion perpendicularity to the axes of resonant cavity and initial states of the system on the atomic population inversion and double-atom dipole squeezing are analysed numerically. We find that the motion affects the collapse and revival of the atomic inversion,but it doesn't affect the maximun dipole squeezing. The maximun dipole squeezing can be got when the field is vacuum and the atoms are in some special entangled state at the begining.