The quantum properties of the light field in the system of two coupled V-type atoms interacting with coherent field in Kerr medium were studied. The solution describing the dynamics process of the system was gained by means of the coupled Tavis-Cummings model in quantum optics. Influences of the initial state, the detuning of the field, the coupling strength of dipole-dipole interaction between atoms and Kerr coefficient on the second-order correlation function and the squeezing parameter of the field were discussed. Numerical calculation results show: when the average photon number of the field in the initial state is smaller, the field exhibits apparent quantum effect; when the probability amplitude of the excited states of the atoms in the initial state changing from small to large, the anti-bunching effect of the field becomes more obvious, but the squeezing depth increase at first and then decrease; the detuning changing create small influence on the quantum properties of the field, its changing only change the oscillating period of the second-correlation function and the squeezing parameter of the field; the increasing of the coupling strength between the atoms weaken the anti-bunching effect of the field and make the squeezing depth become shallow; the increasing of Kerr coefficient enhances the anti-bunching effect of the field, but makes the squeezing depth become shallow.