The squeezing property of the light field in the non-resonant system of single-model squeezed vacuum field interacting with two coupling atoms via intensity-dependent coupling in Kerr medium is investigated. By using the numerical method, the relations between the squeezing property of the light field and the coupling parameter of the system are discussed. The results show that the squeezing property of the light field depends on the Kerr medium, the detuning, the interaction between atoms and the initial squeezed factor of light field. With the increase of the dipole-dipole interaction between atoms, the squeezing effect of light field gradually becomes weak and the squeezing time gradually decreases. With the increase of the Kerr effect or the detuning, the squeezing degree of light field gradually becomes weak first and strong later, the squeezing time gradually decreases first and increases later. The squeezing degree of light field is smaller for the cases of the small initial squeezed factor light field. On the contrary, the squeezing degree rises for the cases of the large initial squeezed factor of light field. But the influence of the atomic initial state on the squeezing degree of the light field is not noticeable.