The properties of the phase evolution of two coupled atoms Raman interacting with squeezed vacuum field are studied using the Pegg-Barnett phase theory. The phase probability distribution and variance are calculated. The evolution of the phase probability distribution functions in some cases are given by curves in the polar coordinate system. The influence of Raman interaction between the coupled atoms with squeezed vacuum field, the dipole-dipole interaction between the atoms and the initial states of atoms on the phase properties are discussed.